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34053542040 = 2335740539931
BaseRepresentation
bin11111101101101111…
…111101000010011000
310020220020202011200210
4133231233331002120
51024220201321130
623351033331120
72313610221450
oct375557750230
9106806664623
1034053542040
1113495378181
126724566aa0
13329911219b
141910938d60
15d449285b0
hex7edbfd098

34053542040 has 64 divisors (see below), whose sum is σ = 116755004160. Its totient is φ = 7783666560.

The previous prime is 34053542011. The next prime is 34053542057. The reversal of 34053542040 is 4024535043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34053541989 and 34053542007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20269126 + ... + 20270805.

It is an arithmetic number, because the mean of its divisors is an integer number (1824296940).

Almost surely, 234053542040 is an apocalyptic number.

34053542040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34053542040 is an abundant number, since it is smaller than the sum of its proper divisors (82701462120).

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

34053542040 is a wasteful number, since it uses less digits than its factorization.

34053542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40539952 (or 40539948 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 34053542040 in words is "thirty-four billion, fifty-three million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 40539931 81079862 121619793 162159724 202699655 243239586 283779517 324319448 405399310 486479172 567559034 608098965 810798620 851338551 972958344 1135118068 1216197930 1418897585 1621597240 1702677102 2270236136 2432395860 2837795170 3405354204 4256692755 4864791720 5675590340 6810708408 8513385510 11351180680 17026771020 34053542040