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3368481728 = 261719473467
BaseRepresentation
bin1100100011000110…
…1111001111000000
322200202101121020112
43020301233033000
523344312403403
61314130130452
7146321423303
oct31061571700
98622347215
103368481728
1114794691a7
127a0120a28
13418b3ba71
1423d524b3a
1514aacd9d8
hexc8c6f3c0

3368481728 has 112 divisors (see below), whose sum is σ = 7610734080. Its totient is φ = 1469362176.

The previous prime is 3368481719. The next prime is 3368481761. The reversal of 3368481728 is 8271848633.

It is a super-2 number, since 2×33684817282 = 22693338303739731968, which contains 22 as substring.

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, 969851 + ... + 973317.

Almost surely, 23368481728 is an apocalyptic number.

3368481728 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 3368481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805367040).

3368481728 is an abundant number, since it is smaller than the sum of its proper divisors (4242252352).

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

3368481728 is a wasteful number, since it uses less digits than its factorization.

3368481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3552 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 50.

The square root of 3368481728 is about 58038.6227265947. The cubic root of 3368481728 is about 1499.0337077272.

The spelling of 3368481728 in words is "three billion, three hundred sixty-eight million, four hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 47 64 68 76 94 136 152 188 272 304 323 376 544 608 646 752 799 893 1088 1216 1292 1504 1598 1786 2584 3008 3196 3467 3572 5168 6392 6934 7144 10336 12784 13868 14288 15181 20672 25568 27736 28576 30362 51136 55472 57152 58939 60724 65873 110944 117878 121448 131746 162949 221888 235756 242896 263492 325898 471512 485792 526984 651796 943024 971584 1053968 1119841 1303592 1886048 2107936 2239682 2607184 2770133 3096031 3772096 4215872 4479364 5214368 5540266 6192062 8958728 10428736 11080532 12384124 17917456 22161064 24768248 35834912 44322128 49536496 52632527 71669824 88644256 99072992 105265054 177288512 198145984 210530108 421060216 842120432 1684240864 3368481728