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3113567424 = 26341154601
BaseRepresentation
bin1011100110010101…
…0100010011000000
322000222201121120000
42321211110103000
522334033124144
61232542320000
7140104613022
oct27145242300
98028647500
103113567424
111358589320
1272a889000
133a80985b6
1421772a012
15133528769
hexb99544c0

3113567424 has 140 divisors (see below), whose sum is σ = 10068827208. Its totient is φ = 943488000.

The previous prime is 3113567423. The next prime is 3113567437. The reversal of 3113567424 is 4247653113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3113567423) 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 19 ways as a sum of consecutive naturals, for example, 29724 + ... + 84324.

Almost surely, 23113567424 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 3113567424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034413604).

3113567424 is an abundant number, since it is smaller than the sum of its proper divisors (6955259784).

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

3113567424 is a wasteful number, since it uses less digits than its factorization.

3113567424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54636 (or 54617 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3113567424 is about 55799.3496736297. The cubic root of 3113567424 is about 1460.2238075617.

The spelling of 3113567424 in words is "three billion, one hundred thirteen million, five hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 54601 57024 109202 163803 218404 327606 436808 491409 600611 655212 873616 982818 1201222 1310424 1474227 1747232 1801833 1965636 2402444 2620848 2948454 3494464 3603666 3931272 4422681 4804888 5241696 5405499 5896908 7207332 7862544 8845362 9609776 10483392 10810998 11793816 14414664 15725088 16216497 17690724 19219552 21621996 23587632 28829328 31450176 32432994 35381448 38439104 43243992 47175264 48649491 57658656 64865988 70762896 86487984 94350528 97298982 115317312 129731976 141525792 172975968 194597964 259463952 283051584 345951936 389195928 518927904 778391856 1037855808 1556783712 3113567424