Search a number
-
+
3890656368 = 243323338653
BaseRepresentation
bin1110011111100110…
…1011010001110000
3101001010221211012000
43213321223101300
530432002000433
61442022134000
7165262014324
oct34771532160
911033854160
103890656368
1117171a0795
12906b81300
134a0089041
1428ca0d984
1517b877113
hexe7e6b470

3890656368 has 80 divisors (see below), whose sum is σ = 11215844640. Its totient is φ = 1291286016.

The previous prime is 3890656351. The next prime is 3890656387. The reversal of 3890656368 is 8636560983.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 81330 + ... + 119982.

It is an arithmetic number, because the mean of its divisors is an integer number (140198058).

Almost surely, 23890656368 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 3890656368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607922320).

3890656368 is an abundant number, since it is smaller than the sum of its proper divisors (7325188272).

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

3890656368 is a wasteful number, since it uses less digits than its factorization.

3890656368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38903 (or 38891 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 3890656368 is about 62375.1261962651. The cubic root of 3890656368 is about 1572.8028647519.

The spelling of 3890656368 in words is "three billion, eight hundred ninety million, six hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 233 432 466 699 932 1398 1864 2097 2796 3728 4194 5592 6291 8388 11184 12582 16776 25164 33552 38653 50328 77306 100656 115959 154612 231918 309224 347877 463836 618448 695754 927672 1043631 1391508 1855344 2087262 2783016 4174524 5566032 8349048 9006149 16698096 18012298 27018447 36024596 54036894 72049192 81055341 108073788 144098384 162110682 216147576 243166023 324221364 432295152 486332046 648442728 972664092 1296885456 1945328184 3890656368