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1384399296 = 26337114451
BaseRepresentation
bin101001010000100…
…0100000111000000
310120110222202211000
41102201010013000
510313401234141
6345212252000
746210125360
oct12241040700
93513882730
101384399296
11650503755
12327771000
13190a788a7
14d1c109a0
15818125b6
hex528441c0

1384399296 has 112 divisors (see below), whose sum is σ = 4651329280. Its totient is φ = 395539200.

The previous prime is 1384399249. The next prime is 1384399297. The reversal of 1384399296 is 6929934831.

1384399296 is a `hidden beast` number, since 1 + 38 + 439 + 92 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13843992962 = 3833122821530591232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384399297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45130 + ... + 69321.

Almost surely, 21384399296 is an apocalyptic number.

1384399296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1384399296 is an abundant number, since it is smaller than the sum of its proper divisors (3266929984).

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

1384399296 is a wasteful number, since it uses less digits than its factorization.

1384399296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114479 (or 114463 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1384399296 is about 37207.5166599439. The cubic root of 1384399296 is about 1114.5180932088.

The spelling of 1384399296 in words is "one billion, three hundred eighty-four million, three hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 114451 228902 343353 457804 686706 801157 915608 1030059 1373412 1602314 1831216 2060118 2403471 2746824 3090177 3204628 3662432 4120236 4806942 5493648 6180354 6409256 7210413 7324864 8240472 9613884 10987296 12360708 12818512 14420826 16480944 19227768 21631239 21974592 24721416 25637024 28841652 32961888 38455536 43262478 49442832 51274048 57683304 65923776 76911072 86524956 98885664 115366608 153822144 173049912 197771328 230733216 346099824 461466432 692199648 1384399296