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245320324304 = 2411171941105253
BaseRepresentation
bin1110010001111000111…
…0110001010011010000
3212110012210110200220012
43210132032301103100
513004404000334204
6304410521534052
723503160231246
oct3443616612320
9773183420805
10245320324304
1195048a22680
123b665344328
131a1976c6013
14bc330d4796
1565ac08876e
hex391e3b14d0

245320324304 has 160 divisors (see below), whose sum is σ = 592015858560. Its totient is φ = 97000243200.

The previous prime is 245320324297. The next prime is 245320324339. The reversal of 245320324304 is 403423023542.

245320324304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2278142 + ... + 2383394.

It is an arithmetic number, because the mean of its divisors is an integer number (3700099116).

Almost surely, 2245320324304 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 245320324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296007929280).

245320324304 is an abundant number, since it is smaller than the sum of its proper divisors (346695534256).

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

245320324304 is a wasteful number, since it uses less digits than its factorization.

245320324304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105349 (or 105343 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 245320324304 its reverse (403423023542), we get a palindrome (648743347846).

The spelling of 245320324304 in words is "two hundred forty-five billion, three hundred twenty million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 41 44 68 76 82 88 136 152 164 176 187 209 272 304 323 328 374 418 451 646 656 697 748 779 836 902 1292 1394 1496 1558 1672 1804 2584 2788 2992 3116 3344 3553 3608 5168 5576 6232 7106 7216 7667 8569 11152 12464 13243 14212 15334 17138 26486 28424 30668 34276 52972 56848 61336 68552 105253 105944 122672 137104 145673 210506 211888 291346 421012 582692 842024 1157783 1165384 1684048 1789301 1999807 2315566 2330768 3578602 3999614 4315373 4631132 7157204 7999228 8630746 9262264 14314408 15998456 17261492 18524528 19682311 21997877 28628816 31996912 33996719 34522984 39364622 43995754 47469103 67993438 69045968 73361341 78729244 81992087 87991508 94938206 135986876 146722682 157458488 163984174 175983016 189876412 271973752 293445364 314916976 327968348 351966032 373963909 379752824 543947504 586890728 655936696 747927818 759505648 806974751 901912957 1173781456 1311873392 1393865479 1495855636 1613949502 1803825914 2787730958 2991711272 3227899004 3607651828 5575461916 5983422544 6455798008 7215303656 11150923832 12911596016 14430607312 15332520269 22301847664 30665040538 61330081076 122660162152 245320324304