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2300245344 = 253313719433
BaseRepresentation
bin1000100100011010…
…1111010101100000
312221022022120102000
42021012233111200
514202330322334
61020130124000
7111000522435
oct21106572540
95838276360
102300245344
11a80479411
12542420600
132a872ca27
1417b6d3b8c
15d6e1e299
hex891af560

2300245344 has 96 divisors (see below), whose sum is σ = 6758367840. Its totient is φ = 761112576.

The previous prime is 2300245327. The next prime is 2300245349. The reversal of 2300245344 is 4435420032.

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

It is a super-2 number, since 2×23002453442 = 10582257285187356672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300245349) 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, 108652 + ... + 128084.

It is an arithmetic number, because the mean of its divisors is an integer number (70399665).

Almost surely, 22300245344 is an apocalyptic number.

2300245344 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 2300245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379183920).

2300245344 is an abundant number, since it is smaller than the sum of its proper divisors (4458122496).

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

2300245344 is a wasteful number, since it uses less digits than its factorization.

2300245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19589 (or 19575 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2300245344 is about 47960.8730529376. The cubic root of 2300245344 is about 1320.0530557187.

Adding to 2300245344 its reverse (4435420032), we get a palindrome (6735665376).

The spelling of 2300245344 in words is "two billion, three hundred million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 822 864 1096 1233 1644 2192 2466 3288 3699 4384 4932 6576 7398 9864 13152 14796 19433 19728 29592 38866 39456 58299 59184 77732 116598 118368 155464 174897 233196 310928 349794 466392 524691 621856 699588 932784 1049382 1399176 1865568 2098764 2662321 2798352 4197528 5324642 5596704 7986963 8395056 10649284 15973926 16790112 21298568 23960889 31947852 42597136 47921778 63895704 71882667 85194272 95843556 127791408 143765334 191687112 255582816 287530668 383374224 575061336 766748448 1150122672 2300245344