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3489136640 = 2195113
BaseRepresentation
bin1100111111111000…
…0000000000000000
3100000011102111122222
43033332000000000
524121204333030
61334120150212
7152315113013
oct31776000000
910004374588
103489136640
111530588000
12814608368
13437b34ac2
1425157137a
151564b33e5
hexcff80000

3489136640 has 160 divisors (see below), whose sum is σ = 9210682800. Its totient is φ = 1268776960.

The previous prime is 3489136591. The next prime is 3489136643. The reversal of 3489136640 is 466319843.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3489136591 and 3489136600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489136643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317194235 + ... + 317194245.

Almost surely, 23489136640 is an apocalyptic number.

3489136640 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3489136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605341400).

3489136640 is an abundant number, since it is smaller than the sum of its proper divisors (5721546160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3489136640 is an frugal number, since it uses more digits than its factorization.

3489136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 3489136640 is about 59068.9143289429. The cubic root of 3489136640 is about 1516.7220217824.

It can be divided in two parts, 348913 and 6640, that added together give a palindrome (355553).

The spelling of 3489136640 in words is "three billion, four hundred eighty-nine million, one hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1210 1280 1331 1408 1760 1936 2048 2420 2560 2662 2816 3520 3872 4096 4840 5120 5324 5632 6655 7040 7744 8192 9680 10240 10648 11264 13310 14080 15488 16384 19360 20480 21296 22528 26620 28160 30976 32768 38720 40960 42592 45056 53240 56320 61952 65536 77440 81920 85184 90112 106480 112640 123904 131072 154880 163840 170368 180224 212960 225280 247808 262144 309760 327680 340736 360448 425920 450560 495616 524288 619520 655360 681472 720896 851840 901120 991232 1239040 1310720 1362944 1441792 1703680 1802240 1982464 2478080 2621440 2725888 2883584 3407360 3604480 3964928 4956160 5451776 5767168 6814720 7208960 7929856 9912320 10903552 13629440 14417920 15859712 19824640 21807104 27258880 28835840 31719424 39649280 43614208 54517760 63438848 79298560 87228416 109035520 158597120 174456832 218071040 317194240 348913664 436142080 697827328 872284160 1744568320 3489136640