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3680001351 = 3213316116633
BaseRepresentation
bin1101101101011000…
…0101110101000111
3100111110120102211100
43123112011311013
530014040020401
61405055111143
7160123331625
oct33326056507
910443512740
103680001351
1116192a0534
128685124b3
13468540cc0
1426ca56515
15168115b86
hexdb585d47

3680001351 has 48 divisors (see below), whose sum is σ = 6006337792. Its totient is φ = 2155507200.

The previous prime is 3680001341. The next prime is 3680001359. The reversal of 3680001351 is 1531000863.

It is not a de Polignac number, because 3680001351 - 27 = 3680001223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680001359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212931 + ... + 229563.

Almost surely, 23680001351 is an apocalyptic number.

3680001351 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3680001351 is a deficient number, since it is larger than the sum of its proper divisors (2326336441).

3680001351 is a wasteful number, since it uses less digits than its factorization.

3680001351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 16741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3680001351 is about 60663.0146876991. The cubic root of 3680001351 is about 1543.8887148029. Note that the first 3 decimals are identical.

The spelling of 3680001351 in words is "three billion, six hundred eighty million, one thousand, three hundred fifty-one".

Divisors: 1 3 9 13 31 39 61 93 117 183 279 403 549 793 1209 1891 2379 3627 5673 7137 16633 17019 24583 49899 73749 149697 216229 221247 515623 648687 1014613 1546869 1946061 3043839 4640607 6703099 9131517 13189969 20109297 31453003 39569907 60327891 94359009 118709721 283077027 408889039 1226667117 3680001351