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3734640072 = 233289582809
BaseRepresentation
bin1101111010011010…
…0001010111001000
3100122021101101001200
43132212201113020
530122031440242
61414330144200
7161355626322
oct33646412710
910567341050
103734640072
11164711a3a9
12882882060
134769618c7
14275dda612
1516cd0a04c
hexde9a15c8

3734640072 has 48 divisors (see below), whose sum is σ = 10228315500. Its totient is φ = 1230890496.

The previous prime is 3734640067. The next prime is 3734640089. The reversal of 3734640072 is 2700464373.

It is a happy number.

3734640072 is a `hidden beast` number, since 3 + 7 + 3 + 4 + 640 + 0 + 7 + 2 = 666.

3734640072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3514829796 + 219810276 = 59286^2 + 14826^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284997 + ... + 297812.

Almost surely, 23734640072 is an apocalyptic number.

It is an amenable number.

3734640072 is an abundant number, since it is smaller than the sum of its proper divisors (6493675428).

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

3734640072 is a wasteful number, since it uses less digits than its factorization.

3734640072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582910 (or 582903 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3734640072 is about 61111.7015963391. The cubic root of 3734640072 is about 1551.4921561309.

The spelling of 3734640072 in words is "three billion, seven hundred thirty-four million, six hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 582809 1165618 1748427 2331236 3496854 4662472 5245281 6993708 10490562 13987416 20981124 41962248 51870001 103740002 155610003 207480004 311220006 414960008 466830009 622440012 933660018 1244880024 1867320036 3734640072