Search a number
-
+
635045364 = 2232232953499
BaseRepresentation
bin100101110110100…
…000010111110100
31122020221122110200
4211312200113310
52300032422424
6143003120500
721510540132
oct4566402764
91566848420
10635045364
112a6514a88
12158813130
13a17491b5
14604aa752
153ab418c9
hex25da05f4

635045364 has 144 divisors (see below), whose sum is σ = 1769040000. Its totient is φ = 191423232.

The previous prime is 635045293. The next prime is 635045377. The reversal of 635045364 is 463540536.

635045364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6350453642 = 806565228675784992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272387 + ... + 1272885.

It is an arithmetic number, because the mean of its divisors is an integer number (12285000).

Almost surely, 2635045364 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 635045364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520000).

635045364 is an abundant number, since it is smaller than the sum of its proper divisors (1133994636).

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

635045364 is a wasteful number, since it uses less digits than its factorization.

635045364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 635045364 is about 25200.1064283467. The cubic root of 635045364 is about 859.5442708928.

The spelling of 635045364 in words is "six hundred thirty-five million, forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 53 58 69 87 92 106 116 138 159 174 207 212 261 276 318 348 414 477 499 522 636 667 828 954 998 1044 1219 1334 1497 1537 1908 1996 2001 2438 2668 2994 3074 3657 4002 4491 4611 4876 5988 6003 6148 7314 8004 8982 9222 10971 11477 12006 13833 14471 14628 17964 18444 21942 22954 24012 26447 27666 28942 34431 35351 43413 43884 45908 52894 55332 57884 68862 70702 79341 86826 103293 105788 106053 130239 137724 141404 158682 173652 206586 212106 238023 260478 317364 318159 332833 413172 424212 476046 520956 608281 636318 665666 766963 952092 998499 1216562 1272636 1331332 1533926 1824843 1996998 2300889 2433124 2995497 3067852 3649686 3993996 4601778 5474529 5990994 6902667 7299372 9203556 10949058 11981988 13805334 17640149 21898116 27610668 35280298 52920447 70560596 105840894 158761341 211681788 317522682 635045364