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2325134304 = 253259193709
BaseRepresentation
bin1000101010010110…
…1011101111100000
320000001011001122100
42022211223233200
514230213244204
61022415410400
7111422213133
oct21245535740
96001131570
102325134304
11a935288a9
1254a823a00
132b093551c
14180b3221a
15d91d8a39
hex8a96bbe0

2325134304 has 144 divisors (see below), whose sum is σ = 6768543600. Its totient is φ = 756891648.

The previous prime is 2325134303. The next prime is 2325134347. The reversal of 2325134304 is 4034315232.

2325134304 is a `hidden beast` number, since 2 + 325 + 1 + 34 + 304 = 666.

2325134304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325134303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3279102 + ... + 3279810.

It is an arithmetic number, because the mean of its divisors is an integer number (47003775).

Almost surely, 22325134304 is an apocalyptic number.

2325134304 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 2325134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384271800).

2325134304 is an abundant number, since it is smaller than the sum of its proper divisors (4443409296).

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

2325134304 is a wasteful number, since it uses less digits than its factorization.

2325134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2325134304 is about 48219.6464524575. The cubic root of 2325134304 is about 1324.7970362428.

Adding to 2325134304 its reverse (4034315232), we get a palindrome (6359449536).

The spelling of 2325134304 in words is "two billion, three hundred twenty-five million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 193 236 288 354 386 472 531 579 708 709 772 944 1062 1158 1416 1418 1544 1737 1888 2124 2127 2316 2832 2836 3088 3474 4248 4254 4632 5664 5672 6176 6381 6948 8496 8508 9264 11344 11387 12762 13896 16992 17016 18528 22688 22774 25524 27792 34032 34161 41831 45548 51048 55584 68064 68322 83662 91096 102096 102483 125493 136644 136837 167324 182192 204192 204966 250986 273288 273674 334648 364384 376479 409932 410511 501972 546576 547348 669296 752958 819864 821022 1003944 1093152 1094696 1231533 1338592 1505916 1639728 1642044 2007888 2189392 2463066 3011832 3279456 3284088 4015776 4378784 4926132 6023664 6568176 8073383 9852264 12047328 13136352 16146766 19704528 24220149 32293532 39409056 48440298 64587064 72660447 96880596 129174128 145320894 193761192 258348256 290641788 387522384 581283576 775044768 1162567152 2325134304