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34838490972 = 22319413726839
BaseRepresentation
bin100000011100100010…
…010010111101011100
310022220221202201012110
4200130202102331130
51032322123202342
624000553434020
72342221200345
oct403442227534
9108827681173
1034838490972
11138584689aa
12690340b910
1333929253cc
141986ca70cc
15d8d7cac9c
hex81c892f5c

34838490972 has 48 divisors (see below), whose sum is σ = 87655276800. Its totient is φ = 10733293440.

The previous prime is 34838490943. The next prime is 34838490989. The reversal of 34838490972 is 27909483843.

It is a super-2 number, since 2×348384909722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1854072 + ... + 1872767.

It is an arithmetic number, because the mean of its divisors is an integer number (1826151600).

Almost surely, 234838490972 is an apocalyptic number.

It is an amenable number.

34838490972 is an abundant number, since it is smaller than the sum of its proper divisors (52816785828).

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

34838490972 is a wasteful number, since it uses less digits than its factorization.

34838490972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726906 (or 3726904 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 34838490972 in words is "thirty-four billion, eight hundred thirty-eight million, four hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1558 2337 3116 4674 9348 3726839 7453678 11180517 14907356 22361034 44722068 70809941 141619882 152800399 212429823 283239764 305600798 424859646 458401197 611201596 849719292 916802394 1833604788 2903207581 5806415162 8709622743 11612830324 17419245486 34838490972