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34432021312 = 2613192178139
BaseRepresentation
bin100000000100010011…
…101111001101000000
310021212121220220122121
4200010103233031000
51031004044140222
623452353414024
72326154231533
oct400423571500
9107777826577
1034432021312
1113669a84267
12680b26a314
13332965a110
141948cdaa1a
15d67c8a5c7
hex8044ef340

34432021312 has 56 divisors (see below), whose sum is σ = 77454658400. Its totient is φ = 15055289856.

The previous prime is 34432021301. The next prime is 34432021321. The reversal of 34432021312 is 21312023443.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1073262 + ... + 1104877.

It is an arithmetic number, because the mean of its divisors is an integer number (1383118900).

Almost surely, 234432021312 is an apocalyptic number.

34432021312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34432021312 is an abundant number, since it is smaller than the sum of its proper divisors (43022637088).

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

34432021312 is a wasteful number, since it uses less digits than its factorization.

34432021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178183 (or 2178173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34432021312 its reverse (21312023443), we get a palindrome (55744044755).

The spelling of 34432021312 in words is "thirty-four billion, four hundred thirty-two million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 15808 2178139 4356278 8712556 17425112 28315807 34850224 41384641 56631614 69700448 82769282 113263228 139400896 165538564 226526456 331077128 453052912 538000333 662154256 906105824 1076000666 1324308512 1812211648 2152001332 2648617024 4304002664 8608005328 17216010656 34432021312