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3412385208 = 233276961631
BaseRepresentation
bin1100101101100100…
…1101110110111000
322210211000010111100
43023121031312320
523442032311313
61322335131400
7150363536631
oct31331156670
98724003440
103412385208
1114a1225571
127b2973b60
13424c7125b
142452b2888
1514e8a2173
hexcb64ddb8

3412385208 has 48 divisors (see below), whose sum is σ = 9254044800. Its totient is φ = 1135964160.

The previous prime is 3412385203. The next prime is 3412385209. The reversal of 3412385208 is 8025832143.

3412385208 is a `hidden beast` number, since 3 + 4 + 123 + 8 + 520 + 8 = 666.

It is a super-3 number, since 3×34123852083 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412385203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24553 + ... + 86183.

It is an arithmetic number, because the mean of its divisors is an integer number (192792600).

Almost surely, 23412385208 is an apocalyptic number.

It is an amenable number.

3412385208 is an abundant number, since it is smaller than the sum of its proper divisors (5841659592).

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

3412385208 is a wasteful number, since it uses less digits than its factorization.

3412385208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62412 (or 62405 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3412385208 is about 58415.6246906596. The cubic root of 3412385208 is about 1505.5182239093.

The spelling of 3412385208 in words is "three billion, four hundred twelve million, three hundred eighty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 769 1538 2307 3076 4614 6152 6921 9228 13842 18456 27684 55368 61631 123262 184893 246524 369786 493048 554679 739572 1109358 1479144 2218716 4437432 47394239 94788478 142182717 189576956 284365434 379153912 426548151 568730868 853096302 1137461736 1706192604 3412385208