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342442464 = 25371339199
BaseRepresentation
bin10100011010010…
…100000111100000
3212212100212202020
4110122110013200
51200131124324
653551421440
711325466350
oct2432240740
9785325666
10342442464
11166333101
1296824880
1355c3b2a0
14336a0b60
15200e4679
hex146941e0

342442464 has 96 divisors (see below), whose sum is σ = 1106380800. Its totient is φ = 90312192.

The previous prime is 342442459. The next prime is 342442483. The reversal of 342442464 is 464244243.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864 + ... + 28335.

It is an arithmetic number, because the mean of its divisors is an integer number (11524800).

Almost surely, 2342442464 is an apocalyptic number.

It is an amenable number.

342442464 is an abundant number, since it is smaller than the sum of its proper divisors (763938336).

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

342442464 is a wasteful number, since it uses less digits than its factorization.

342442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39232 (or 39224 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 342442464 is about 18505.2009986382. The cubic root of 342442464 is about 699.6205181231.

The spelling of 342442464 in words is "three hundred forty-two million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 39199 78398 117597 156796 235194 274393 313592 470388 509587 548786 627184 823179 940776 1019174 1097572 1254368 1528761 1646358 1881552 2038348 2195144 3057522 3292716 3567109 3763104 4076696 4390288 6115044 6585432 7134218 8153392 8780576 10701327 12230088 13170864 14268436 16306784 21402654 24460176 26341728 28536872 42805308 48920352 57073744 85610616 114147488 171221232 342442464