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342492960 = 25353123017
BaseRepresentation
bin10100011010100…
…000011100100000
3212212110110000110
4110122200130200
51200134233320
653552451320
711326066515
oct2432403440
9785413013
10342492960
11166368037
1296849b40
1355c58274
14336b530c
15201045e0
hex146a0720

342492960 has 96 divisors (see below), whose sum is σ = 1113702912. Its totient is φ = 88381440.

The previous prime is 342492959. The next prime is 342492961. The reversal of 342492960 is 69294243.

It is an interprime number because it is at equal distance from previous prime (342492959) and next prime (342492961).

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

It is not an unprimeable number, because it can be changed into a prime (342492961) 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, 3372 + ... + 26388.

It is an arithmetic number, because the mean of its divisors is an integer number (11601072).

Almost surely, 2342492960 is an apocalyptic number.

342492960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556851456).

342492960 is an abundant number, since it is smaller than the sum of its proper divisors (771209952).

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

342492960 is a wasteful number, since it uses less digits than its factorization.

342492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23066 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 342492960 is about 18506.5653215285. The cubic root of 342492960 is about 699.6549047283.

The spelling of 342492960 in words is "three hundred forty-two million, four hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 23017 46034 69051 92068 115085 138102 184136 230170 276204 345255 368272 460340 552408 690510 713527 736544 920680 1104816 1381020 1427054 1841360 2140581 2209632 2762040 2854108 3567635 3682720 4281162 5524080 5708216 7135270 8562324 10702905 11048160 11416432 14270540 17124648 21405810 22832864 28541080 34249296 42811620 57082160 68498592 85623240 114164320 171246480 342492960