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3493498624 = 28711315717
BaseRepresentation
bin1101000000111010…
…1000111100000000
3100000110122010011221
43100032220330000
524123313423444
61334353444424
7152400151120
oct32016507400
910013563157
103493498624
111532a97250
12815b70714
13438a01365
14251d88c80
15156a75a84
hexd03a8f00

3493498624 has 144 divisors (see below), whose sum is σ = 8976070656. Its totient is φ = 1316966400.

The previous prime is 3493498607. The next prime is 3493498627. The reversal of 3493498624 is 4268943943.

It is a super-3 number, since 3×34934986243 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3493498627) 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, 608214 + ... + 613930.

It is an arithmetic number, because the mean of its divisors is an integer number (62333824).

Almost surely, 23493498624 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 3493498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488035328).

3493498624 is an abundant number, since it is smaller than the sum of its proper divisors (5482572032).

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

3493498624 is a wasteful number, since it uses less digits than its factorization.

3493498624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5768 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 52.

The square root of 3493498624 is about 59105.8256350421. The cubic root of 3493498624 is about 1517.3538076939.

The spelling of 3493498624 in words is "three billion, four hundred ninety-three million, four hundred ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 128 154 176 217 224 248 256 308 341 352 434 448 496 616 682 704 868 896 992 1232 1364 1408 1736 1792 1984 2387 2464 2728 2816 3472 3968 4774 4928 5456 5717 6944 7936 9548 9856 10912 11434 13888 19096 19712 21824 22868 27776 38192 40019 43648 45736 55552 62887 76384 80038 87296 91472 125774 152768 160076 177227 182944 251548 305536 320152 354454 365888 440209 503096 611072 640304 708908 731776 880418 1006192 1240589 1280608 1417816 1463552 1760836 1949497 2012384 2481178 2561216 2835632 3521672 3898994 4024768 4962356 5122432 5671264 7043344 7797988 8049536 9924712 10244864 11342528 13646479 14086688 15595976 16099072 19849424 22685056 27292958 28173376 31191952 39698848 45370112 54585916 56346752 62383904 79397696 109171832 112693504 124767808 158795392 218343664 249535616 317590784 436687328 499071232 873374656 1746749312 3493498624