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34010403232 = 25132310932611
BaseRepresentation
bin11111101011001011…
…011001000110100000
310020210020120111101011
4133223023121012200
51024123130400412
623342452550304
72312544441361
oct375313310640
9106706514334
1034010403232
1113472a93373
126712022394
1332901b9a70
141908d09b68
15d40c567a7
hex7eb2d91a0

34010403232 has 96 divisors (see below), whose sum is σ = 75936389760. Its totient is φ = 14876421120.

The previous prime is 34010403223. The next prime is 34010403233. The reversal of 34010403232 is 23230401043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34010403233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026607 + ... + 1059217.

It is an arithmetic number, because the mean of its divisors is an integer number (791004060).

Almost surely, 234010403232 is an apocalyptic number.

34010403232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34010403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37968194880).

34010403232 is an abundant number, since it is smaller than the sum of its proper divisors (41925986528).

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

34010403232 is a wasteful number, since it uses less digits than its factorization.

34010403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32766 (or 32758 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34010403232 its reverse (23230401043), we get a palindrome (57240804275).

The spelling of 34010403232 in words is "thirty-four billion, ten million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 109 184 208 218 299 368 416 436 598 736 872 1196 1417 1744 2392 2507 2834 3488 4784 5014 5668 9568 10028 11336 20056 22672 32591 32611 40112 45344 65182 65222 80224 130364 130444 260728 260888 423943 521456 521776 750053 847886 1042912 1043552 1500106 1695772 3000212 3391544 3554599 6000424 6783088 7109198 9750689 12000848 13566176 14218396 19501378 24001696 28436792 39002756 46209787 56873584 78005512 81755777 92419574 113747168 156011024 163511554 184839148 312022048 327023108 369678296 654046216 739356592 1062825101 1308092432 1478713184 2125650202 2616184864 4251300404 8502600808 17005201616 34010403232