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34003432113 = 3717434747129
BaseRepresentation
bin11111101010110000…
…110011001010110001
310020202202110022210120
4133222300303022301
51024114334311423
623342043320453
72312431255410
oct375260631261
9106682408716
1034003432113
111346a061912
12670b820129
13328b918a41
141908013477
15d4032aee3
hex7eac332b1

34003432113 has 64 divisors (see below), whose sum is σ = 57334210560. Its totient is φ = 17481848832.

The previous prime is 34003432009. The next prime is 34003432121. The reversal of 34003432113 is 31123430043.

It is not a de Polignac number, because 34003432113 - 29 = 34003431601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34003452113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697933 + ... + 745061.

It is an arithmetic number, because the mean of its divisors is an integer number (895847040).

Almost surely, 234003432113 is an apocalyptic number.

It is an amenable number.

34003432113 is a deficient number, since it is larger than the sum of its proper divisors (23330778447).

34003432113 is a wasteful number, since it uses less digits than its factorization.

34003432113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47246.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34003432113 its reverse (31123430043), we get a palindrome (65126862156).

The spelling of 34003432113 in words is "thirty-four billion, three million, four hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 17 21 43 47 51 119 129 141 301 329 357 731 799 903 987 2021 2193 2397 5117 5593 6063 14147 15351 16779 34357 42441 47129 103071 141387 240499 329903 721497 801193 989709 2026547 2215063 2403579 5608351 6079641 6645189 14185829 15505441 16825053 34451299 37656071 42557487 46516323 95247709 103353897 112968213 241159093 263592497 285743127 666733963 723477279 790777491 1619211053 2000201889 4857633159 11334477371 34003432113