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345115008 = 2732742797
BaseRepresentation
bin10100100100100…
…000100110000000
3220001101122210100
4110210200212000
51201322140013
654125002400
711360300130
oct2444404600
9801348710
10345115008
11167899017
12976b3400
1356665884
1433b98ac0
1520471473
hex14920980

345115008 has 96 divisors (see below), whose sum is σ = 1135002960. Its totient is φ = 98601984.

The previous prime is 345114997. The next prime is 345115009. The reversal of 345115008 is 800511543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345115009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13335 + ... + 29462.

Almost surely, 2345115008 is an apocalyptic number.

It is an amenable number.

345115008 is an abundant number, since it is smaller than the sum of its proper divisors (789887952).

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

345115008 is a wasteful number, since it uses less digits than its factorization.

345115008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42824 (or 42809 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 345115008 is about 18577.2712743287. The cubic root of 345115008 is about 701.4358337692.

The spelling of 345115008 in words is "three hundred forty-five million, one hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 42797 85594 128391 171188 256782 299579 342376 385173 513564 599158 684752 770346 898737 1027128 1198316 1369504 1540692 1797474 2054256 2396632 2696211 2739008 3081384 3594948 4108512 4793264 5392422 5478016 6162768 7189896 8217024 9586528 10784844 12325536 14379792 16434048 19173056 21569688 24651072 28759584 38346112 43139376 49302144 57519168 86278752 115038336 172557504 345115008