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3450268368 = 2432191996337
BaseRepresentation
bin1100110110100110…
…1110101011010000
322220110021210102100
43031221232223100
524031232041433
61330211120400
7151333540311
oct31551565320
98813253370
103450268368
11151064a768
128035a3100
1342ca76421
1424a334608
15152d86b13
hexcda6ead0

3450268368 has 120 divisors (see below), whose sum is σ = 10216856000. Its totient is φ = 1083912192.

The previous prime is 3450268351. The next prime is 3450268379. The reversal of 3450268368 is 8638620543.

It is a happy number.

3450268368 is a `hidden beast` number, since 3 + 4 + 502 + 6 + 83 + 68 = 666.

It is a super-2 number, since 2×34502683682 = 23808703622442766848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541296 + ... + 547632.

Almost surely, 23450268368 is an apocalyptic number.

3450268368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450268368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108428000).

3450268368 is an abundant number, since it is smaller than the sum of its proper divisors (6766587632).

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

3450268368 is a wasteful number, since it uses less digits than its factorization.

3450268368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3450268368 is about 58738.9850780553. The cubic root of 3450268368 is about 1511.0689867695.

The spelling of 3450268368 in words is "three billion, four hundred fifty million, two hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 199 228 304 342 398 456 597 684 796 912 1194 1368 1592 1791 2388 2736 3184 3582 3781 4776 6337 7164 7562 9552 11343 12674 14328 15124 19011 22686 25348 28656 30248 34029 38022 45372 50696 57033 60496 68058 76044 90744 101392 114066 120403 136116 152088 181488 228132 240806 272232 304176 361209 456264 481612 544464 722418 912528 963224 1083627 1261063 1444836 1926448 2167254 2522126 2889672 3783189 4334508 5044252 5779344 7566378 8669016 10088504 11349567 15132756 17338032 20177008 22699134 23960197 30265512 45398268 47920394 60531024 71880591 90796536 95840788 143761182 181593072 191681576 215641773 287522364 383363152 431283546 575044728 862567092 1150089456 1725134184 3450268368