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345154804512 = 25373116568491
BaseRepresentation
bin1010000010111001101…
…01000101101100100000
31012222220102122202200020
411001130311011230200
521123334112221022
6422321213153440
733636154300620
oct5013465055440
91188812582606
10345154804512
11123419986261
1256a8778b880
1326717b3174b
14129c418a880
158ea19ca35c
hex505cd45b20

345154804512 has 96 divisors (see below), whose sum is σ = 1068866555904. Its totient is φ = 95434502400.

The previous prime is 345154804483. The next prime is 345154804523. The reversal of 345154804512 is 215408451543.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8263414 + ... + 8305077.

It is an arithmetic number, because the mean of its divisors is an integer number (11134026624).

Almost surely, 2345154804512 is an apocalyptic number.

345154804512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345154804512 is an abundant number, since it is smaller than the sum of its proper divisors (723711751392).

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

345154804512 is a wasteful number, since it uses less digits than its factorization.

345154804512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16568542 (or 16568534 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 345154804512 in words is "three hundred forty-five billion, one hundred fifty-four million, eight hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 16568491 33136982 49705473 66273964 99410946 115979437 132547928 198821892 231958874 265095856 347938311 397643784 463917748 513623221 530191712 695876622 795287568 927835496 1027246442 1391753244 1540869663 1590575136 1855670992 2054492884 2783506488 3081739326 3595362547 3711341984 4108985768 5567012976 6163478652 7190725094 8217971536 10786087641 11134025952 12326957304 14381450188 16435943072 21572175282 24653914608 28762900376 43144350564 49307829216 57525800752 86288701128 115051601504 172577402256 345154804512