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616734066 = 231323531723
BaseRepresentation
bin100100110000101…
…001110101110010
31120222111100002110
4210300221311302
52230340442231
6141110430150
721166103334
oct4460516562
91528440073
10616734066
11297148483
12152662356
139aa07600
145bca1454
1539226046
hex24c29d72

616734066 has 48 divisors (see below), whose sum is σ = 1340210016. Its totient is φ = 189116928.

The previous prime is 616734059. The next prime is 616734067. The reversal of 616734066 is 660437616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (616734067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357081 + ... + 358803.

It is an arithmetic number, because the mean of its divisors is an integer number (27921042).

Almost surely, 2616734066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616734066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670105008).

616734066 is an abundant number, since it is smaller than the sum of its proper divisors (723475950).

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

616734066 is a wasteful number, since it uses less digits than its factorization.

616734066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 616734066 is about 24834.1310699610. The cubic root of 616734066 is about 851.2020207087.

The spelling of 616734066 in words is "six hundred sixteen million, seven hundred thirty-four thousand, sixty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 353 507 706 1014 1059 1723 2118 3446 4589 5169 9178 10338 13767 22399 27534 44798 59657 67197 119314 134394 178971 291187 357942 582374 608219 873561 1216438 1747122 1824657 3649314 7906847 15813694 23720541 47441082 102789011 205578022 308367033 616734066