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338428464 = 24311640963
BaseRepresentation
bin10100001011000…
…000001000110000
3212120210221120120
4110023000020300
51143114202324
653325410240
711246410623
oct2413001060
9776727516
10338428464
11164041350
1295409980
135516423a
1432d37dba
151eaa0179
hex142c0230

338428464 has 40 divisors (see below), whose sum is σ = 953754432. Its totient is φ = 102553920.

The previous prime is 338428451. The next prime is 338428483. The reversal of 338428464 is 464824833.

It is a super-2 number, since 2×3384284642 = 229067650490798592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 319954 + ... + 321009.

Almost surely, 2338428464 is an apocalyptic number.

It is an amenable number.

338428464 is an abundant number, since it is smaller than the sum of its proper divisors (615325968).

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

338428464 is a wasteful number, since it uses less digits than its factorization.

338428464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640985 (or 640979 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 338428464 is about 18396.4253049336. The cubic root of 338428464 is about 696.8761920495.

The spelling of 338428464 in words is "three hundred thirty-eight million, four hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 640963 1281926 1922889 2563852 3845778 5127704 7050593 7691556 10255408 14101186 15383112 21151779 28202372 30766224 42303558 56404744 84607116 112809488 169214232 338428464