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3723382944 = 25334309471
BaseRepresentation
bin1101110111101110…
…0101000010100000
3100121111012110012000
43131323211002200
530111141223234
61413245004000
7161161142601
oct33573450240
910544173160
103723382944
111640830796
1287ab53600
1347451ca98
14274709da8
1516bd34899
hexddee50a0

3723382944 has 48 divisors (see below), whose sum is σ = 10859869440. Its totient is φ = 1241127360.

The previous prime is 3723382867. The next prime is 3723382951. The reversal of 3723382944 is 4492833273.

3723382944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3723382944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2153872 + ... + 2155599.

It is an arithmetic number, because the mean of its divisors is an integer number (226247280).

Almost surely, 23723382944 is an apocalyptic number.

It is an amenable number.

3723382944 is an abundant number, since it is smaller than the sum of its proper divisors (7136486496).

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

3723382944 is a wasteful number, since it uses less digits than its factorization.

3723382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309490 (or 4309476 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3723382944 is about 61019.5292017236. The cubic root of 3723382944 is about 1549.9317269963.

The spelling of 3723382944 in words is "three billion, seven hundred twenty-three million, three hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4309471 8618942 12928413 17237884 25856826 34475768 38785239 51713652 68951536 77570478 103427304 116355717 137903072 155140956 206854608 232711434 310281912 413709216 465422868 620563824 930845736 1241127648 1861691472 3723382944