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2339899104 = 253297910639
BaseRepresentation
bin1000101101111000…
…0000011011100000
320001001221012010210
42023132000123200
514243003232404
61024104054120
7111661546164
oct21336003340
96031835123
102339899104
11aa08a2914
12553764340
132b3a04aaa
14182a96ca4
15da653689
hex8b7806e0

2339899104 has 96 divisors (see below), whose sum is σ = 6435072000. Its totient is φ = 743468544.

The previous prime is 2339899099. The next prime is 2339899139. The reversal of 2339899104 is 4019989332.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214617 + ... + 225255.

It is an arithmetic number, because the mean of its divisors is an integer number (67032000).

Almost surely, 22339899104 is an apocalyptic number.

2339899104 is a gapful number since it is divisible by the number (24) 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 2339899104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536000).

2339899104 is an abundant number, since it is smaller than the sum of its proper divisors (4095172896).

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

2339899104 is a wasteful number, since it uses less digits than its factorization.

2339899104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 2339899104 is about 48372.5035945009. The cubic root of 2339899104 is about 1327.5953126511.

The spelling of 2339899104 in words is "two billion, three hundred thirty-nine million, eight hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 79 87 96 116 158 174 232 237 316 348 464 474 632 696 928 948 1264 1392 1896 2291 2528 2784 3792 4582 6873 7584 9164 10639 13746 18328 21278 27492 31917 36656 42556 54984 63834 73312 85112 109968 127668 170224 219936 255336 308531 340448 510672 617062 840481 925593 1021344 1234124 1680962 1851186 2468248 2521443 3361924 3702372 4936496 5042886 6723848 7404744 9872992 10085772 13447696 14809488 20171544 24373949 26895392 29618976 40343088 48747898 73121847 80686176 97495796 146243694 194991592 292487388 389983184 584974776 779966368 1169949552 2339899104