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342446268 = 223294124001
BaseRepresentation
bin10100011010010…
…101000010111100
3212212101001222010
4110122111002330
51200131240033
653551451220
711325513423
oct2432250274
9785331863
10342446268
11166335a4a
1296826b10
1355c3cc38
14336a22ba
15200e5863
hex146950bc

342446268 has 48 divisors (see below), whose sum is σ = 846790560. Its totient is φ = 107520000.

The previous prime is 342446261. The next prime is 342446339. The reversal of 342446268 is 862644243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342446261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2268 + ... + 26268.

It is an arithmetic number, because the mean of its divisors is an integer number (17641470).

Almost surely, 2342446268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342446268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423395280).

342446268 is an abundant number, since it is smaller than the sum of its proper divisors (504344292).

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

342446268 is a wasteful number, since it uses less digits than its factorization.

342446268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24078 (or 24076 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 342446268 is about 18505.3037802680. The cubic root of 342446268 is about 699.6231086767.

The spelling of 342446268 in words is "three hundred forty-two million, four hundred forty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 7134 14268 24001 48002 72003 96004 144006 288012 696029 984041 1392058 1968082 2088087 2784116 2952123 3936164 4176174 5904246 8352348 11808492 28537189 57074378 85611567 114148756 171223134 342446268