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3334037040 = 243254630607
BaseRepresentation
bin1100011010111001…
…0101111000110000
322121100120122000100
43012232111320300
523312003141130
61310455552400
7145422563415
oct30656257060
98540518010
103334037040
111460a82414
1279068b700
1341196b9a9
14238b1a10c
15147a77c60
hexc6b95e30

3334037040 has 60 divisors (see below), whose sum is σ = 11196810144. Its totient is φ = 889076352.

The previous prime is 3334037029. The next prime is 3334037053. The reversal of 3334037040 is 407304333.

3334037040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×33340370402 = 22231605968183923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334036995 and 3334037013.

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, 2314584 + ... + 2316023.

Almost surely, 23334037040 is an apocalyptic number.

3334037040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3334037040 is an abundant number, since it is smaller than the sum of its proper divisors (7862773104).

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

3334037040 is a wasteful number, since it uses less digits than its factorization.

3334037040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630626 (or 4630617 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3334037040 is about 57741.1208758542. The cubic root of 3334037040 is about 1493.9066946024.

The spelling of 3334037040 in words is "three billion, three hundred thirty-four million, thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4630607 9261214 13891821 18522428 23153035 27783642 37044856 41675463 46306070 55567284 69459105 74089712 83350926 92612140 111134568 138918210 166701852 185224280 208377315 222269136 277836420 333403704 370448560 416754630 555672840 666807408 833509260 1111345680 1667018520 3334037040