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345150456 = 233717120851
BaseRepresentation
bin10100100100101…
…001001111111000
3220001110110102020
4110210221033320
51201324303311
654125434440
711360505360
oct2444511770
9801413366
10345150456
11167912712
129770ba20
1356678a51
1433ba79a0
152047bc06
hex149293f8

345150456 has 64 divisors (see below), whose sum is σ = 1044161280. Its totient is φ = 92812800.

The previous prime is 345150451. The next prime is 345150457. The reversal of 345150456 is 654051543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345150451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57570 + ... + 63281.

It is an arithmetic number, because the mean of its divisors is an integer number (16315020).

Almost surely, 2345150456 is an apocalyptic number.

It is an amenable number.

345150456 is an abundant number, since it is smaller than the sum of its proper divisors (699010824).

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

345150456 is a wasteful number, since it uses less digits than its factorization.

345150456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120884 (or 120880 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 345150456 is about 18578.2253189049. The cubic root of 345150456 is about 701.4598486103.

The spelling of 345150456 in words is "three hundred forty-five million, one hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 120851 241702 362553 483404 725106 845957 966808 1450212 1691914 2054467 2537871 2900424 3383828 4108934 5075742 6163401 6767656 8217868 10151484 12326802 14381269 16435736 20302968 24653604 28762538 43143807 49307208 57525076 86287614 115050152 172575228 345150456