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3744305568 = 253311033929
BaseRepresentation
bin1101111100101101…
…1001000110100000
3100122221120102122000
43133023121012200
530132020234233
61415313244000
7161534033523
oct33713310640
910587512560
103744305568
111651621213
12885b63600
13478967133
142773d4bba
1516dab8d13
hexdf2d91a0

3744305568 has 96 divisors (see below), whose sum is σ = 10933574400. Its totient is φ = 1246652928.

The previous prime is 3744305531. The next prime is 3744305597. The reversal of 3744305568 is 8655034473.

3744305568 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 (96).

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, 951028 + ... + 954956.

It is an arithmetic number, because the mean of its divisors is an integer number (113891400).

Almost surely, 23744305568 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 3744305568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466787200).

3744305568 is an abundant number, since it is smaller than the sum of its proper divisors (7189268832).

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

3744305568 is a wasteful number, since it uses less digits than its factorization.

3744305568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3744305568 is about 61190.7310628007. The cubic root of 3744305568 is about 1552.8294579573.

The spelling of 3744305568 in words is "three billion, seven hundred forty-four million, three hundred five thousand, five hundred sixty-eight".

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 1103 2206 3309 3929 4412 6618 7858 8824 9927 11787 13236 15716 17648 19854 23574 26472 29781 31432 35296 35361 39708 47148 52944 59562 62864 70722 79416 94296 105888 106083 119124 125728 141444 158832 188592 212166 238248 282888 317664 377184 424332 476496 565776 848664 952992 1131552 1697328 3394656 4333687 8667374 13001061 17334748 26002122 34669496 39003183 52004244 69338992 78006366 104008488 117009549 138677984 156012732 208016976 234019098 312025464 416033952 468038196 624050928 936076392 1248101856 1872152784 3744305568