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3297496068 = 22341992257
BaseRepresentation
bin1100010010001011…
…1100110000000100
322111210211011020000
43010202330300010
523223124333233
61303112441300
7144500153106
oct30442746004
98453734200
103297496068
111442394669
127803a9230
13407216709
14233d27576
1514475ad13
hexc48bcc04

3297496068 has 90 divisors (see below), whose sum is σ = 8697553326. Its totient is φ = 1089386496.

The previous prime is 3297496063. The next prime is 3297496073. The reversal of 3297496068 is 8606947923.

It is a happy number.

3297496068 is a `hidden beast` number, since 3 + 2 + 97 + 496 + 0 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3297496063) and next prime (3297496073).

It can be written as a sum of positive squares in only one way, i.e., 3284665344 + 12830724 = 57312^2 + 3582^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3297496063) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12830596 + ... + 12830852.

Almost surely, 23297496068 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 3297496068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348776663).

3297496068 is an abundant number, since it is smaller than the sum of its proper divisors (5400057258).

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

3297496068 is a wasteful number, since it uses less digits than its factorization.

3297496068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3297496068 is about 57423.8283990192. The cubic root of 3297496068 is about 1488.4289053655.

The spelling of 3297496068 in words is "three billion, two hundred ninety-seven million, four hundred ninety-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 257 324 398 514 597 771 796 1028 1194 1542 1791 2313 2388 3084 3582 4626 5373 6939 7164 9252 10746 13878 16119 20817 21492 27756 32238 39601 41634 51143 64476 79202 83268 102286 118803 153429 158404 204572 237606 306858 356409 460287 475212 613716 712818 920574 1069227 1380861 1425636 1841148 2138454 2761722 3207681 4142583 4276908 5523444 6415362 8285166 10177457 12830724 16570332 20354914 30532371 40709828 61064742 91597113 122129484 183194226 274791339 366388452 549582678 824374017 1099165356 1648748034 3297496068