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342376272 = 24327339659
BaseRepresentation
bin10100011010000…
…011111101010000
3212212020111221200
4110122003331100
51200122020042
653550151200
711325102360
oct2432037520
9785214850
10342376272
111662983a7
12967b2500
1355c17114
14336849a0
15200cec4c
hex14683f50

342376272 has 60 divisors (see below), whose sum is σ = 1095063840. Its totient is φ = 97821504.

The previous prime is 342376261. The next prime is 342376313. The reversal of 342376272 is 272673243.

342376272 is a `hidden beast` number, since 3 + 4 + 23 + 7 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168822 + ... + 170837.

It is an arithmetic number, because the mean of its divisors is an integer number (18251064).

Almost surely, 2342376272 is an apocalyptic number.

It is an amenable number.

342376272 is an abundant number, since it is smaller than the sum of its proper divisors (752687568).

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

342376272 is a wasteful number, since it uses less digits than its factorization.

342376272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339680 (or 339671 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 342376272 is about 18503.4124420335. The cubic root of 342376272 is about 699.5754377858.

The spelling of 342376272 in words is "three hundred forty-two million, three hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 339659 679318 1018977 1358636 2037954 2377613 2717272 3056931 4075908 4755226 5434544 6113862 7132839 8151816 9510452 12227724 14265678 16303632 19020904 21398517 24455448 28531356 38041808 42797034 48910896 57062712 85594068 114125424 171188136 342376272