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3680971224 = 233725187293
BaseRepresentation
bin1101101101100111…
…0010100111011000
3100111112101201020120
43123121302213120
530014312034344
61405131553240
7160134511350
oct33331624730
910445351216
103680971224
1116198a3187
128688bb820
134687c05a8
1426cc29b60
15168258219
hexdb6729d8

3680971224 has 64 divisors (see below), whose sum is σ = 10559082240. Its totient is φ = 1047504000.

The previous prime is 3680971207. The next prime is 3680971241. The reversal of 3680971224 is 4221790863.

It is an interprime number because it is at equal distance from previous prime (3680971207) and next prime (3680971241).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1479 + ... + 85814.

It is an arithmetic number, because the mean of its divisors is an integer number (164985660).

Almost surely, 23680971224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680971224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279541120).

3680971224 is an abundant number, since it is smaller than the sum of its proper divisors (6878111016).

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

3680971224 is a wasteful number, since it uses less digits than its factorization.

3680971224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87560 (or 87556 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3680971224 is about 60671.0081010692. The cubic root of 3680971224 is about 1544.0243347217.

The spelling of 3680971224 in words is "three billion, six hundred eighty million, nine hundred seventy-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 753 1004 1506 1757 2008 3012 3514 5271 6024 7028 10542 14056 21084 42168 87293 174586 261879 349172 523758 611051 698344 1047516 1222102 1833153 2095032 2444204 3666306 4888408 7332612 14665224 21910543 43821086 65731629 87642172 131463258 153373801 175284344 262926516 306747602 460121403 525853032 613495204 920242806 1226990408 1840485612 3680971224