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666919344 = 243713612503
BaseRepresentation
bin100111110000000…
…110000110110000
31201110221000100110
4213300012012300
52331212404334
6150102221320
722345502160
oct4760060660
91643830313
10666919344
11312505413
12167424840
13a8229140
14648065a0
153d83aae9
hex27c061b0

666919344 has 160 divisors (see below), whose sum is σ = 2156084224. Its totient is φ = 172938240.

The previous prime is 666919321. The next prime is 666919387. The reversal of 666919344 is 443919666.

It is a super-2 number, since 2×6669193442 = 889562822802780672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 666919293 and 666919302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265197 + ... + 267699.

Almost surely, 2666919344 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 666919344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078042112).

666919344 is an abundant number, since it is smaller than the sum of its proper divisors (1489164880).

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

666919344 is a wasteful number, since it uses less digits than its factorization.

666919344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2589 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 666919344 is about 25824.7815866853. The cubic root of 666919344 is about 873.6908177868.

The spelling of 666919344 in words is "six hundred sixty-six million, nine hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 61 78 84 91 104 112 122 156 168 182 183 208 244 273 312 336 364 366 427 488 546 624 728 732 793 854 976 1092 1281 1456 1464 1586 1708 2184 2379 2503 2562 2928 3172 3416 4368 4758 5006 5124 5551 6344 6832 7509 9516 10012 10248 11102 12688 15018 16653 17521 19032 20024 20496 22204 30036 32539 33306 35042 38064 40048 44408 52563 60072 65078 66612 70084 88816 97617 105126 120144 130156 133224 140168 152683 195234 210252 227773 260312 266448 280336 305366 390468 420504 455546 458049 520624 610732 683319 780936 841008 911092 916098 1068781 1221464 1366638 1561872 1822184 1832196 1984879 2137562 2442928 2733276 3206343 3644368 3664392 3969758 4275124 5466552 5954637 6412686 7328784 7939516 8550248 10933104 11909274 12825372 13894153 15879032 17100496 23818548 25650744 27788306 31758064 41682459 47637096 51301488 55576612 83364918 95274192 111153224 166729836 222306448 333459672 666919344