Search a number
-
+
3032001040 = 245297179233
BaseRepresentation
bin1011010010111000…
…1010101000010000
321211022020121111211
42310232022220100
522202143013130
61220510145504
7135064404115
oct26456125020
97738217454
103032001040
111316538292
127074b2294
1339420a273
1420a97690c
1512b2b5a2a
hexb4b8aa10

3032001040 has 160 divisors (see below), whose sum is σ = 7520947200. Its totient is φ = 1134981120.

The previous prime is 3032000989. The next prime is 3032001043. The reversal of 3032001040 is 401002303.

It is a super-2 number, since 2×30320010402 = 18386060613122163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3032001040.

It is not an unprimeable number, because it can be changed into a prime (3032001043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13012764 + ... + 13012996.

It is an arithmetic number, because the mean of its divisors is an integer number (47005920).

Almost surely, 23032001040 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 3032001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760473600).

3032001040 is an abundant number, since it is smaller than the sum of its proper divisors (4488946160).

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

3032001040 is a wasteful number, since it uses less digits than its factorization.

3032001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3032001040 is about 55063.6090353693. The cubic root of 3032001040 is about 1447.3596086657.

Adding to 3032001040 its reverse (401002303), we get a palindrome (3433003343).

The spelling of 3032001040 in words is "three billion, thirty-two million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 71 79 80 116 142 145 158 232 233 284 290 316 355 395 464 466 568 580 632 710 790 932 1136 1160 1165 1264 1420 1580 1864 2059 2291 2320 2330 2840 3160 3728 4118 4582 4660 5609 5680 6320 6757 8236 9164 9320 10295 11218 11455 13514 16472 16543 18328 18407 18640 20590 22436 22910 27028 28045 32944 33086 33785 36656 36814 41180 44872 45820 54056 56090 66172 67570 73628 82360 82715 89744 91640 92035 108112 112180 132344 135140 147256 162661 164720 165430 183280 184070 224360 264688 270280 294512 325322 330860 368140 448720 479747 533803 540560 650644 661720 736280 813305 959494 1067606 1301288 1306897 1323440 1472560 1626610 1918988 2135212 2398735 2602576 2613794 2669015 3253220 3837976 4270424 4797470 5227588 5338030 6506440 6534485 7675952 8540848 9594940 10455176 10676060 13012880 13068970 19189880 20910352 21352120 26137940 37900013 38379760 42704240 52275880 75800026 104551760 151600052 189500065 303200104 379000130 606400208 758000260 1516000520 3032001040