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34450053408 = 253339872747
BaseRepresentation
bin100000000101011000…
…100001100100100000
310021220212212001001000
4200011120201210200
51031023203202113
623454240112000
72326463423331
oct400530414440
9107825761030
1034450053408
1113679180021
126815305600
1333303018b4
14194b472288
15d6964d373
hex805621920

34450053408 has 48 divisors (see below), whose sum is σ = 100479324960. Its totient is φ = 11483350848.

The previous prime is 34450053403. The next prime is 34450053431. The reversal of 34450053408 is 80435005443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34450053403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19935510 + ... + 19937237.

It is an arithmetic number, because the mean of its divisors is an integer number (2093319270).

Almost surely, 234450053408 is an apocalyptic number.

It is an amenable number.

34450053408 is an abundant number, since it is smaller than the sum of its proper divisors (66029271552).

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

34450053408 is a wasteful number, since it uses less digits than its factorization.

34450053408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39872766 (or 39872752 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34450053408 in words is "thirty-four billion, four hundred fifty million, fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 39872747 79745494 119618241 159490988 239236482 318981976 358854723 478472964 637963952 717709446 956945928 1076564169 1275927904 1435418892 1913891856 2153128338 2870837784 3827783712 4306256676 5741675568 8612513352 11483351136 17225026704 34450053408