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3493756420 = 2257112316653
BaseRepresentation
bin1101000000111110…
…0111111000000100
3100000111010012210221
43100033213320010
524123400201140
61334403154124
7152402303530
oct32017477004
910014105727
103493756420
111533152a00
12816075944
13438a917bb
14252014bc0
15156ac714a
hexd03e7e04

3493756420 has 144 divisors (see below), whose sum is σ = 9515326464. Its totient is φ = 1053676800.

The previous prime is 3493756417. The next prime is 3493756459. The reversal of 3493756420 is 246573943.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521814 + ... + 528466.

It is an arithmetic number, because the mean of its divisors is an integer number (66078656).

Almost surely, 23493756420 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 3493756420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757663232).

3493756420 is an abundant number, since it is smaller than the sum of its proper divisors (6021570044).

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

3493756420 is a wasteful number, since it uses less digits than its factorization.

3493756420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The square root of 3493756420 is about 59108.0063950731. The cubic root of 3493756420 is about 1517.3911301761.

The spelling of 3493756420 in words is "three billion, four hundred ninety-three million, seven hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 121 124 140 154 155 217 220 242 308 310 341 385 434 484 605 620 682 770 847 868 1085 1210 1364 1540 1694 1705 2170 2387 2420 3388 3410 3751 4235 4340 4774 6653 6820 7502 8470 9548 11935 13306 15004 16940 18755 23870 26257 26612 33265 37510 46571 47740 52514 66530 73183 75020 93142 105028 131285 133060 146366 186284 206243 232855 262570 292732 365915 412486 465710 512281 525140 731830 805013 824972 931420 1024562 1031215 1443701 1463660 1610026 2049124 2062430 2268673 2561405 2887402 3220052 4025065 4124860 4537346 5122810 5635091 5774804 7218505 8050130 9074692 10245620 11270182 11343365 14437010 15880711 16100260 22540364 22686730 24955403 28175455 28874020 31761422 45373460 49910806 56350910 63522844 79403555 99821612 112701820 124777015 158807110 174687821 249554030 317614220 349375642 499108060 698751284 873439105 1746878210 3493756420