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338616420 = 22355643607
BaseRepresentation
bin10100001011101…
…110000001100100
3212121011111101220
4110023232001210
51143141211140
653333420340
711251122612
oct2413560144
9777144356
10338616420
1116415a58a
129549a6b0
13551cb95c
1432d866b2
151eadabd0
hex142ee064

338616420 has 24 divisors (see below), whose sum is σ = 948126144. Its totient is φ = 90297696.

The previous prime is 338616409. The next prime is 338616437. The reversal of 338616420 is 24616833.

It is a super-2 number, since 2×3386164202 = 229322159787232800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2821744 + ... + 2821863.

It is an arithmetic number, because the mean of its divisors is an integer number (39505256).

Almost surely, 2338616420 is an apocalyptic number.

338616420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338616420 is an abundant number, since it is smaller than the sum of its proper divisors (609509724).

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

338616420 is a wasteful number, since it uses less digits than its factorization.

338616420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643619 (or 5643617 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 338616420 is about 18401.5330883054. The cubic root of 338616420 is about 697.0051782655.

The spelling of 338616420 in words is "three hundred thirty-eight million, six hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5643607 11287214 16930821 22574428 28218035 33861642 56436070 67723284 84654105 112872140 169308210 338616420