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2304259144 = 23114103191
BaseRepresentation
bin1000100101011000…
…0011010001001000
312221120212111022021
42021112003101020
514204342243034
61020352134224
7111046610455
oct21126032110
95846774267
102304259144
11a82770000
12543837374
132a9506965
1417c05a82c
15d74636b4
hex89583448

2304259144 has 80 divisors (see below), whose sum is σ = 4823769600. Its totient is φ = 1031791200.

The previous prime is 2304259127. The next prime is 2304259157. The reversal of 2304259144 is 4419524032.

It is a super-2 number, since 2×23042591442 = 10619220405415225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 12064089 + ... + 12064279.

It is an arithmetic number, because the mean of its divisors is an integer number (60297120).

Almost surely, 22304259144 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 2304259144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411884800).

2304259144 is an abundant number, since it is smaller than the sum of its proper divisors (2519510456).

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

2304259144 is a wasteful number, since it uses less digits than its factorization.

2304259144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2304259144 is about 48002.6993407662. The cubic root of 2304259144 is about 1320.8204159095.

The spelling of 2304259144 in words is "two billion, three hundred four million, two hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 103 121 191 206 242 382 412 484 764 824 968 1133 1331 1528 2101 2266 2662 4202 4532 5324 8404 9064 10648 12463 14641 16808 19673 23111 24926 29282 39346 46222 49852 58564 78692 92444 99704 117128 137093 157384 184888 216403 254221 274186 432806 508442 548372 865612 1016884 1096744 1508023 1731224 2033768 2380433 2796431 3016046 4760866 5592862 6032092 9521732 11185724 12064184 19043464 22371448 26184763 52369526 104739052 209478104 288032393 576064786 1152129572 2304259144