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345909936 = 243157197233
BaseRepresentation
bin10100100111100…
…010101010110000
3220002220001020010
4110213202222300
51202023104221
654154014520
711400120531
oct2447425260
9802801203
10345909936
11168291289
1297a17440
1356883648
1433d24688
152057bc76
hex149e2ab0

345909936 has 80 divisors (see below), whose sum is σ = 907736544. Its totient is φ = 113498112.

The previous prime is 345909919. The next prime is 345909937. The reversal of 345909936 is 639909543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345909937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484476 + ... + 1484708.

Almost surely, 2345909936 is an apocalyptic number.

It is an amenable number.

345909936 is an abundant number, since it is smaller than the sum of its proper divisors (561826608).

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

345909936 is a wasteful number, since it uses less digits than its factorization.

345909936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The square root of 345909936 is about 18598.6541448568. The cubic root of 345909936 is about 701.9739765193.

The spelling of 345909936 in words is "three hundred forty-five million, nine hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 197 233 314 394 466 471 591 628 699 788 932 942 1182 1256 1398 1576 1864 1884 2364 2512 2796 3152 3728 3768 4728 5592 7536 9456 11184 30929 36581 45901 61858 73162 91802 92787 109743 123716 137703 146324 183604 185574 219486 247432 275406 292648 367208 371148 438972 494864 550812 585296 734416 742296 877944 1101624 1484592 1755888 2203248 7206457 14412914 21619371 28825828 43238742 57651656 86477484 115303312 172954968 345909936