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3493522464 = 2531133071049
BaseRepresentation
bin1101000000111010…
…1110110000100000
3100000110200022212220
43100032232300200
524123320204324
61334354151040
7152400310455
oct32016566040
910013608786
103493522464
111533003153
12815b82480
13438a0c173
14251d9382c
15156a7cb79
hexd03aec20

3493522464 has 96 divisors (see below), whose sum is σ = 9290635200. Its totient is φ = 1149345792.

The previous prime is 3493522369. The next prime is 3493522469. The reversal of 3493522464 is 4642253943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3493522469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3329812 + ... + 3330860.

It is an arithmetic number, because the mean of its divisors is an integer number (96777450).

Almost surely, 23493522464 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 3493522464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645317600).

3493522464 is an abundant number, since it is smaller than the sum of its proper divisors (5797112736).

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

3493522464 is a wasteful number, since it uses less digits than its factorization.

3493522464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 3493522464 is about 59106.0273068661. The cubic root of 3493522464 is about 1517.3572592130.

The spelling of 3493522464 in words is "three billion, four hundred ninety-three million, five hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 307 339 452 614 678 904 921 1049 1228 1356 1808 1842 2098 2456 2712 3147 3616 3684 4196 4912 5424 6294 7368 8392 9824 10848 12588 14736 16784 25176 29472 33568 34691 50352 69382 100704 104073 118537 138764 208146 237074 277528 322043 355611 416292 474148 555056 644086 711222 832584 948296 966129 1110112 1288172 1422444 1665168 1896592 1932258 2576344 2844888 3330336 3793184 3864516 5152688 5689776 7729032 10305376 11379552 15458064 30916128 36390859 72781718 109172577 145563436 218345154 291126872 436690308 582253744 873380616 1164507488 1746761232 3493522464