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33428016 = 24322310093
BaseRepresentation
bin111111110000…
…1001000110000
32022220022121200
41333201020300
532024144031
63152251200
7554063526
oct177411060
968808550
1033428016
1117961a66
12b240b00
136c053bb
144622316
152e048e6
hex1fe1230

33428016 has 60 divisors (see below), whose sum is σ = 97629168. Its totient is φ = 10657152.

The previous prime is 33428009. The next prime is 33428023. The reversal of 33428016 is 61082433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33428009) and next prime (33428023).

It is a super-2 number, since 2×334280162 = 2234864507392512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1735 + ... + 8358.

Almost surely, 233428016 is an apocalyptic number.

33428016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33428016 is an abundant number, since it is smaller than the sum of its proper divisors (64201152).

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

33428016 is a wasteful number, since it uses less digits than its factorization.

33428016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33428016 is about 5781.6966368013. The cubic root of 33428016 is about 322.1342238407.

The spelling of 33428016 in words is "thirty-three million, four hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 10093 20186 30279 40372 60558 80744 90837 121116 161488 181674 232139 242232 363348 464278 484464 696417 726696 928556 1392834 1453392 1857112 2089251 2785668 3714224 4178502 5571336 8357004 11142672 16714008 33428016