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2113432304 = 242937257479
BaseRepresentation
bin111110111111000…
…0110101011110000
312110021210111002112
41331332012223300
513312014313204
6545414104452
7103241610134
oct17576065360
95407714075
102113432304
11994a82a75
124ab94b128
13278b11a79
141609853c4
15c581c26e
hex7df86af0

2113432304 has 80 divisors (see below), whose sum is σ = 4376505600. Its totient is φ = 986775552.

The previous prime is 2113432247. The next prime is 2113432357. The reversal of 2113432304 is 4032343112.

It is a super-2 number, since 2×21134323042 = 8933192207181496832, 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 2113432304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4411937 + ... + 4412415.

It is an arithmetic number, because the mean of its divisors is an integer number (54706320).

Almost surely, 22113432304 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 2113432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188252800).

2113432304 is an abundant number, since it is smaller than the sum of its proper divisors (2263073296).

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

2113432304 is a wasteful number, since it uses less digits than its factorization.

2113432304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2113432304 is about 45972.0817888422. The cubic root of 2113432304 is about 1283.3037020800.

Adding to 2113432304 its reverse (4032343112), we get a palindrome (6145775416).

The spelling of 2113432304 in words is "two billion, one hundred thirteen million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 257 296 464 479 514 592 958 1028 1073 1916 2056 2146 3832 4112 4292 7453 7664 8584 9509 13891 14906 17168 17723 19018 27782 29812 35446 38036 55564 59624 70892 76072 111128 119248 123103 141784 152144 222256 246206 275761 283568 492412 513967 551522 984824 1027934 1103044 1969648 2055868 2206088 3569987 4111736 4412176 4554811 7139974 8223472 9109622 14279948 18219244 28559896 36438488 57119792 72876976 132089519 264179038 528358076 1056716152 2113432304