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3393796968 = 233410948049
BaseRepresentation
bin1100101001001001…
…0011101101101000
322202112000202020000
43022102103231220
523422303000333
61320432503000
7150046540542
oct31222235550
98675022200
103393796968
111491789991
127a86aaa60
134211635b3
14242a34692
1514ce2e713
hexca493b68

3393796968 has 80 divisors (see below), whose sum is σ = 9593182500. Its totient is φ = 1120863744.

The previous prime is 3393796961. The next prime is 3393796999. The reversal of 3393796968 is 8696973933.

It can be written as a sum of positive squares in 2 ways, for example, as 3315686724 + 78110244 = 57582^2 + 8838^2 .

It is not an unprimeable number, because it can be changed into a prime (3393796961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46608 + ... + 94656.

Almost surely, 23393796968 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 3393796968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796591250).

3393796968 is an abundant number, since it is smaller than the sum of its proper divisors (6199385532).

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

3393796968 is a wasteful number, since it uses less digits than its factorization.

3393796968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48176 (or 48163 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 63.

The square root of 3393796968 is about 58256.3041052211. The cubic root of 3393796968 is about 1502.7795821007.

The spelling of 3393796968 in words is "three billion, three hundred ninety-three million, seven hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 324 327 436 648 654 872 981 1308 1962 2616 2943 3924 5886 7848 8829 11772 17658 23544 35316 48049 70632 96098 144147 192196 288294 384392 432441 576588 864882 1153176 1297323 1729764 2594646 3459528 3891969 5189292 5237341 7783938 10378584 10474682 15567876 15712023 20949364 31135752 31424046 41898728 47136069 62848092 94272138 125696184 141408207 188544276 282816414 377088552 424224621 565632828 848449242 1131265656 1696898484 3393796968