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1393040304 = 243231313997
BaseRepresentation
bin101001100001000…
…0001101110110000
310121002020210001100
41103002001232300
510323104242204
6350121404400
746343434665
oct12302015660
93532223040
101393040304
11655375887
1232a639700
131927b2a06
14d301da6c
158246ca39
hex53081bb0

1393040304 has 120 divisors (see below), whose sum is σ = 4041245312. Its totient is φ = 447482880.

The previous prime is 1393040291. The next prime is 1393040321. The reversal of 1393040304 is 4030403931.

It is a super-2 number, since 2×13930403042 = 3881122577136824832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396734 + ... + 1397730.

Almost surely, 21393040304 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 1393040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020622656).

1393040304 is an abundant number, since it is smaller than the sum of its proper divisors (2648205008).

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

1393040304 is a wasteful number, since it uses less digits than its factorization.

1393040304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1393040304 is about 37323.4551455248. The cubic root of 1393040304 is about 1116.8321153631.

The spelling of 1393040304 in words is "one billion, three hundred ninety-three million, forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 313 372 496 558 626 744 939 997 1116 1252 1488 1878 1994 2232 2504 2817 2991 3756 3988 4464 5008 5634 5982 7512 7976 8973 9703 11268 11964 15024 15952 17946 19406 22536 23928 29109 30907 35892 38812 45072 47856 58218 61814 71784 77624 87327 92721 116436 123628 143568 155248 174654 185442 232872 247256 278163 312061 349308 370884 465744 494512 556326 624122 698616 741768 936183 1112652 1248244 1397232 1483536 1872366 2225304 2496488 2808549 3744732 4450608 4992976 5617098 7489464 9673891 11234196 14978928 19347782 22468392 29021673 38695564 44936784 58043346 77391128 87065019 116086692 154782256 174130038 232173384 348260076 464346768 696520152 1393040304