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536064340 = 225741611531
BaseRepresentation
bin11111111100111…
…011000101010100
31101100200220000211
4133330323011110
52044213024330
6125105415204
716166320540
oct3774730524
91340626024
10536064340
1125565a089
1212b63a504
13870a1446
14512a2a20
15320ddd2a
hex1ff3b154

536064340 has 96 divisors (see below), whose sum is σ = 1340414208. Its totient is φ = 176256000.

The previous prime is 536064337. The next prime is 536064341. The reversal of 536064340 is 43460635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536064341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349375 + ... + 350905.

It is an arithmetic number, because the mean of its divisors is an integer number (13962648).

Almost surely, 2536064340 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 536064340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670207104).

536064340 is an abundant number, since it is smaller than the sum of its proper divisors (804349868).

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

536064340 is a wasteful number, since it uses less digits than its factorization.

536064340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 536064340 is about 23153.0632962466. The cubic root of 536064340 is about 812.3421212769.

The spelling of 536064340 in words is "five hundred thirty-six million, sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 61 70 82 122 140 164 205 244 287 305 410 427 574 610 820 854 1148 1220 1435 1531 1708 2135 2501 2870 3062 4270 5002 5740 6124 7655 8540 10004 10717 12505 15310 17507 21434 25010 30620 35014 42868 50020 53585 62771 70028 87535 93391 107170 125542 175070 186782 214340 251084 313855 350140 373564 439397 466955 627710 653737 878794 933910 1255420 1307474 1757588 1867820 2196985 2614948 3268685 3829031 4393970 6537370 7658062 8787940 13074740 15316124 19145155 26803217 38290310 53606434 76580620 107212868 134016085 268032170 536064340