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3193114368 = 28329307467
BaseRepresentation
bin1011111001010011…
…0000111100000000
322020112102000110010
42332110300330000
523014414124433
61244503304520
7142062011223
oct27624607400
98215360403
103193114368
1113994800a4
1275144b140
133bb6ca6b2
142241155ba
1513a4dce63
hexbe530f00

3193114368 has 144 divisors (see below), whose sum is σ = 8838910080. Its totient is φ = 1022128128.

The previous prime is 3193114363. The next prime is 3193114381. The reversal of 3193114368 is 8634113913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3193114363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6837271 + ... + 6837737.

It is an arithmetic number, because the mean of its divisors is an integer number (61381320).

Almost surely, 23193114368 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 3193114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419455040).

3193114368 is an abundant number, since it is smaller than the sum of its proper divisors (5645795712).

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

3193114368 is a wasteful number, since it uses less digits than its factorization.

3193114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 3193114368 is about 56507.6487566064. The cubic root of 3193114368 is about 1472.5548868961.

The spelling of 3193114368 in words is "three billion, one hundred ninety-three million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 307 348 384 464 467 614 696 768 921 928 934 1228 1392 1401 1842 1856 1868 2456 2784 2802 3684 3712 3736 4912 5568 5604 7368 7424 7472 8903 9824 11136 11208 13543 14736 14944 17806 19648 22272 22416 26709 27086 29472 29888 35612 39296 40629 44832 53418 54172 58944 59776 71224 78592 81258 89664 106836 108344 117888 119552 142448 143369 162516 179328 213672 216688 235776 284896 286738 325032 358656 427344 430107 433376 569792 573476 650064 854688 860214 866752 1139584 1146952 1300128 1709376 1720428 1733504 2279168 2293904 2600256 3418752 3440856 3467008 4157701 4587808 5200512 6837504 6881712 8315402 9175616 10401024 12473103 13763424 16630804 18351232 24946206 27526848 33261608 36702464 49892412 55053696 66523216 99784824 110107392 133046432 199569648 266092864 399139296 532185728 798278592 1064371456 1596557184 3193114368