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2312421104 = 247233532543
BaseRepresentation
bin1000100111010100…
…1011111011110000
312222011020011102002
42021311023323300
514213434433404
61021243113132
7111206153330
oct21165137360
95864204362
102312421104
11a87335224
125465127a8
132ab103a16
1417d1830c0
15d8026c1e
hex89d4bef0

2312421104 has 80 divisors (see below), whose sum is σ = 5360228352. Its totient is φ = 944891904.

The previous prime is 2312421077. The next prime is 2312421113. The reversal of 2312421104 is 4011242132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908057 + ... + 910599.

Almost surely, 22312421104 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 2312421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680114176).

2312421104 is an abundant number, since it is smaller than the sum of its proper divisors (3047807248).

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

2312421104 is a wasteful number, since it uses less digits than its factorization.

2312421104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2312421104 is about 48087.6398256350. The cubic root of 2312421104 is about 1322.3780792238.

Adding to 2312421104 its reverse (4011242132), we get a palindrome (6323663236).

The spelling of 2312421104 in words is "two billion, three hundred twelve million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 353 368 644 706 1288 1412 2471 2543 2576 2824 4942 5086 5648 8119 9884 10172 16238 17801 19768 20344 32476 35602 39536 40688 56833 58489 64952 71204 113666 116978 129904 142408 227332 233956 284816 409423 454664 467912 818846 897679 909328 935824 1637692 1795358 3275384 3590716 6283753 6550768 7181432 12567506 14362864 20646617 25135012 41293234 50270024 82586468 100540048 144526319 165172936 289052638 330345872 578105276 1156210552 2312421104