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1393734664 = 2371719292657
BaseRepresentation
bin101001100010010…
…1011010000001000
310121010120001112101
41103010223100020
510323244002124
6350144323144
746352356240
oct12304532010
93533501471
101393734664
116557aa533
1232a9134b4
13192996a8a
14d3160b20
1582558644
hex5312b408

1393734664 has 128 divisors (see below), whose sum is σ = 3444768000. Its totient is φ = 514031616.

The previous prime is 1393734659. The next prime is 1393734677. The reversal of 1393734664 is 4664373931.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523224 + ... + 525880.

It is an arithmetic number, because the mean of its divisors is an integer number (26912250).

Almost surely, 21393734664 is an apocalyptic number.

1393734664 is a gapful number since it is divisible by the number (14) 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 1393734664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722384000).

1393734664 is an abundant number, since it is smaller than the sum of its proper divisors (2051033336).

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

1393734664 is a wasteful number, since it uses less digits than its factorization.

1393734664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2731 counting only the distinct ones).

The product of its digits is 979776, while the sum is 46.

The square root of 1393734664 is about 37332.7559122013. The cubic root of 1393734664 is about 1117.0176459456.

The spelling of 1393734664 in words is "one billion, three hundred ninety-three million, seven hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 19 28 29 34 38 56 58 68 76 116 119 133 136 152 203 232 238 266 323 406 476 493 532 551 646 812 952 986 1064 1102 1292 1624 1972 2204 2261 2584 2657 3451 3857 3944 4408 4522 5314 6902 7714 9044 9367 10628 13804 15428 18088 18599 18734 21256 27608 30856 37198 37468 45169 50483 65569 74396 74936 77053 90338 100966 131138 148792 154106 180676 201932 262276 308212 316183 353381 361352 403864 524552 539371 616424 632366 706762 858211 1078742 1264732 1309901 1413524 1464007 1716422 2157484 2529464 2619802 2827048 2928014 3432844 4314968 5239604 5856028 6007477 6865688 9169307 10248049 10479208 11712056 12014954 18338614 20496098 24029908 24888119 36677228 40992196 48059816 49776238 73354456 81984392 99552476 174216833 199104952 348433666 696867332 1393734664