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2314745472 = 273131014591
BaseRepresentation
bin1000100111111000…
…0011011010000000
312222022121020211210
42021332003122000
514220033323342
61021405010120
7111235004034
oct21176033200
95868536753
102314745472
11a88682596
12547253940
132ab7389a0
1417d5ca1c4
15d833579c
hex89f83680

2314745472 has 128 divisors (see below), whose sum is σ = 6688523520. Its totient is φ = 705024000.

The previous prime is 2314745453. The next prime is 2314745491. The reversal of 2314745472 is 2745474132.

It is an interprime number because it is at equal distance from previous prime (2314745453) and next prime (2314745491).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2314745472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501897 + ... + 506487.

It is an arithmetic number, because the mean of its divisors is an integer number (52254090).

Almost surely, 22314745472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344261760).

2314745472 is an abundant number, since it is smaller than the sum of its proper divisors (4373778048).

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

2314745472 is a wasteful number, since it uses less digits than its factorization.

2314745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4710 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 2314745472 is about 48111.8017954015. The cubic root of 2314745472 is about 1322.8210008587.

The spelling of 2314745472 in words is "two billion, three hundred fourteen million, seven hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 303 312 384 404 416 606 624 808 832 1212 1248 1313 1616 1664 2424 2496 2626 3232 3939 4591 4848 4992 5252 6464 7878 9182 9696 10504 12928 13773 15756 18364 19392 21008 27546 31512 36728 38784 42016 55092 59683 63024 73456 84032 110184 119366 126048 146912 168064 179049 220368 238732 252096 293824 358098 440736 463691 477464 504192 587648 716196 881472 927382 954928 1391073 1432392 1762944 1854764 1909856 2782146 2864784 3709528 3819712 5564292 5729568 6027983 7419056 7639424 11128584 11459136 12055966 14838112 18083949 22257168 22918272 24111932 29676224 36167898 44514336 48223864 59352448 72335796 89028672 96447728 144671592 178057344 192895456 289343184 385790912 578686368 771581824 1157372736 2314745472