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3382800420 = 2235173316471
BaseRepresentation
bin1100100110100001…
…0111000000100100
322201202100001210110
43021220113000210
523411444103140
61315401053020
7146554220616
oct31150270044
98652301713
103382800420
11148655902a
127a4a87170
1341bab326c
142413b0db6
1514beab380
hexc9a17024

3382800420 has 48 divisors (see below), whose sum is σ = 10029011328. Its totient is φ = 849016320.

The previous prime is 3382800409. The next prime is 3382800511. The reversal of 3382800420 is 240082833.

It is a super-2 number, since 2×33828004202 = 22886677363104352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657216 + ... + 1659255.

It is an arithmetic number, because the mean of its divisors is an integer number (208937736).

Almost surely, 23382800420 is an apocalyptic number.

3382800420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3382800420 is an abundant number, since it is smaller than the sum of its proper divisors (6646210908).

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

3382800420 is a wasteful number, since it uses less digits than its factorization.

3382800420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316500 (or 3316498 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3382800420 is about 58161.8467726051. The cubic root of 3382800420 is about 1501.1547286176.

The spelling of 3382800420 in words is "three billion, three hundred eighty-two million, eight hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 3316471 6632942 9949413 13265884 16582355 19898826 33164710 39797652 49747065 56380007 66329420 99494130 112760014 169140021 198988260 225520028 281900035 338280042 563800070 676560084 845700105 1127600140 1691400210 3382800420