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3734627312 = 2413591631867
BaseRepresentation
bin1101111010011001…
…1110001111110000
3100122021100201120002
43132212132033300
530122031033222
61414330005132
7161355544163
oct33646361760
910567321502
103734627312
111647110859
128828767a8
13476958b60
14275dd5ada
1516cd06392
hexde99e3f0

3734627312 has 80 divisors (see below), whose sum is σ = 7977406080. Its totient is φ = 1683161856.

The previous prime is 3734627297. The next prime is 3734627317. The reversal of 3734627312 is 2137264373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734627317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999403 + ... + 2001269.

It is an arithmetic number, because the mean of its divisors is an integer number (99717576).

Almost surely, 23734627312 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 3734627312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988703040).

3734627312 is an abundant number, since it is smaller than the sum of its proper divisors (4242778768).

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

3734627312 is a wasteful number, since it uses less digits than its factorization.

3734627312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2104 counting only the distinct ones).

The product of its digits is 127008, while the sum is 38.

The square root of 3734627312 is about 61111.5971972587. The cubic root of 3734627312 is about 1551.4903891545.

The spelling of 3734627312 in words is "three billion, seven hundred thirty-four million, six hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 163 208 236 326 472 652 767 944 1304 1534 1867 2119 2608 3068 3734 4238 6136 7468 8476 9617 12272 14936 16952 19234 24271 29872 33904 38468 48542 76936 97084 110153 125021 153872 194168 220306 250042 304321 388336 440612 500084 608642 881224 1000168 1217284 1431989 1762448 2000336 2434568 2863978 3956173 4869136 5727956 7912346 11455912 15824692 17954939 22911824 31649384 35909878 63298768 71819756 143639512 233414207 287279024 466828414 933656828 1867313656 3734627312