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1384239252 = 2231129431839
BaseRepresentation
bin101001010000001…
…1101000010010100
310120110200122021110
41102200131002110
510313331124002
6345205015020
746205560644
oct12240350224
93513618243
101384239252
11650404490
123276b4470
13190a20aa6
14d1bac524
15817cee6c
hex5281d094

1384239252 has 96 divisors (see below), whose sum is σ = 3657830400. Its totient is φ = 403580800.

The previous prime is 1384239251. The next prime is 1384239257. The reversal of 1384239252 is 2529324831.

It is a super-2 number, since 2×13842392522 = 3832236613555039008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1384239252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384239251) by changing a digit.

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, 1649449 + ... + 1650287.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 21384239252 is an apocalyptic number.

1384239252 is a gapful number since it is divisible by the number (12) 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 1384239252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1384239252 is an abundant number, since it is smaller than the sum of its proper divisors (2273591148).

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

1384239252 is a wasteful number, since it uses less digits than its factorization.

1384239252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1315 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1384239252 is about 37205.3659033210. The cubic root of 1384239252 is about 1114.4751434596.

The spelling of 1384239252 in words is "one billion, three hundred eighty-four million, two hundred thirty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 431 638 839 862 957 1276 1293 1678 1724 1914 2517 2586 3356 3828 4741 5034 5172 9229 9482 10068 12499 14223 18458 18964 24331 24998 27687 28446 36916 37497 48662 49996 55374 56892 72993 74994 97324 110748 137489 145986 149988 267641 274978 291972 361609 412467 535282 549956 723218 802923 824934 1070564 1084827 1446436 1605846 1649868 2169654 3211692 3977699 4339308 7955398 10486661 11933097 15910796 20973322 23866194 31459983 41946644 47732388 62919966 115353271 125839932 230706542 346059813 461413084 692119626 1384239252