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342037296 = 24333072579
BaseRepresentation
bin10100011000110…
…001001100110000
3212211121021222000
4110120301030300
51200030143141
653535014000
711322161166
oct2430611460
9784537860
10342037296
11166086757
129666a300
1355b28a43
14335d7236
15200645b6
hex14631330

342037296 has 80 divisors (see below), whose sum is σ = 985353600. Its totient is φ = 113596992.

The previous prime is 342037279. The next prime is 342037303. The reversal of 342037296 is 692730243.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 342037296.

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, 131335 + ... + 133913.

It is an arithmetic number, because the mean of its divisors is an integer number (12316920).

Almost surely, 2342037296 is an apocalyptic number.

342037296 is a gapful number since it is divisible by the number (36) 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 342037296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492676800).

342037296 is an abundant number, since it is smaller than the sum of its proper divisors (643316304).

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

342037296 is a wasteful number, since it uses less digits than its factorization.

342037296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 342037296 is about 18494.2503497709. The cubic root of 342037296 is about 699.3444856555.

The spelling of 342037296 in words is "three hundred forty-two million, thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 921 1228 1842 2456 2579 2763 3684 4912 5158 5526 7368 7737 8289 10316 11052 14736 15474 16578 20632 22104 23211 30948 33156 41264 44208 46422 61896 66312 69633 92844 123792 132624 139266 185688 278532 371376 557064 791753 1114128 1583506 2375259 3167012 4750518 6334024 7125777 9501036 12668048 14251554 19002072 21377331 28503108 38004144 42754662 57006216 85509324 114012432 171018648 342037296