Search a number
-
+
3305490768 = 24347135923
BaseRepresentation
bin1100010100000101…
…1100100101010000
322112100212022220000
43011001130211100
523232201201033
61304000050000
7144625131216
oct30501344520
98470768800
103305490768
111446955158
12783003900
13408a855c8
14235008cb6
151452d9a13
hexc505c950

3305490768 has 100 divisors (see below), whose sum is σ = 9702066528. Its totient is φ = 1086281280.

The previous prime is 3305490739. The next prime is 3305490817. The reversal of 3305490768 is 8670945033.

3305490768 is a `hidden beast` number, since 3 + 30 + 549 + 0 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74055 + ... + 109977.

Almost surely, 23305490768 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 3305490768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851033264).

3305490768 is an abundant number, since it is smaller than the sum of its proper divisors (6396575760).

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

3305490768 is a wasteful number, since it uses less digits than its factorization.

3305490768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36014 (or 35999 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3305490768 is about 57493.3976035510. The cubic root of 3305490768 is about 1489.6308212574.

The spelling of 3305490768 in words is "three billion, three hundred five million, four hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1278 1296 1704 1917 2556 3408 3834 5112 5751 7668 10224 11502 15336 23004 30672 35923 46008 71846 92016 107769 143692 215538 287384 323307 431076 574768 646614 862152 969921 1293228 1724304 1939842 2550533 2586456 2909763 3879684 5101066 5172912 5819526 7651599 7759368 10202132 11639052 15303198 15518736 20404264 22954797 23278104 30606396 40808528 45909594 46556208 61212792 68864391 91819188 122425584 137728782 183638376 206593173 275457564 367276752 413186346 550915128 826372692 1101830256 1652745384 3305490768