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3440863712 = 2511133891933
BaseRepresentation
bin1100110100010111…
…0110100111100000
322212210120222122202
43031011312213200
524021330114322
61325233352332
7151160600426
oct31505664740
98783528582
103440863712
111506306920
128004086a8
1342ab32840
14248da7116
1515212a292
hexcd1769e0

3440863712 has 96 divisors (see below), whose sum is σ = 7983087840. Its totient is φ = 1439262720.

The previous prime is 3440863709. The next prime is 3440863747. The reversal of 3440863712 is 2173680443.

3440863712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779098 + ... + 1781030.

It is an arithmetic number, because the mean of its divisors is an integer number (83157165).

Almost surely, 23440863712 is an apocalyptic number.

3440863712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440863712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991543920).

3440863712 is an abundant number, since it is smaller than the sum of its proper divisors (4542224128).

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

3440863712 is a wasteful number, since it uses less digits than its factorization.

3440863712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 3440863712 is about 58658.8758160263. The cubic root of 3440863712 is about 1509.6947926337.

The spelling of 3440863712 in words is "three billion, four hundred forty million, eight hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 389 416 572 778 1144 1556 1933 2288 3112 3866 4279 4576 5057 6224 7732 8558 10114 12448 15464 17116 20228 21263 25129 30928 34232 40456 42526 50258 55627 61856 68464 80912 85052 100516 111254 136928 161824 170104 201032 222508 276419 340208 402064 445016 552838 680416 751937 804128 890032 1105676 1503874 1780064 2211352 3007748 4422704 6015496 8271307 8845408 9775181 12030992 16542614 19550362 24061984 33085228 39100724 66170456 78201448 107526991 132340912 156402896 215053982 264681824 312805792 430107964 860215928 1720431856 3440863712