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1356534032 = 24721924793
BaseRepresentation
bin101000011011011…
…0001000100010000
310111112120001212012
41100312301010100
510234233042112
6342335122052
745421230500
oct12066610420
93445501765
101356534032
11636801107
1231a373328
13188070479
14cc239a00
157e15b022
hex50db1110

1356534032 has 90 divisors (see below), whose sum is σ = 3227450238. Its totient is φ = 550658304.

The previous prime is 1356533987. The next prime is 1356534041. The reversal of 1356534032 is 2304356531.

It can be written as a sum of positive squares in only one way, i.e., 1308702976 + 47831056 = 36176^2 + 6916^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1356534032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 280628 + ... + 285420.

Almost surely, 21356534032 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 1356534032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613725119).

1356534032 is an abundant number, since it is smaller than the sum of its proper divisors (1870916206).

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

1356534032 is a wasteful number, since it uses less digits than its factorization.

1356534032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 1356534032 is about 36831.1557244678. The cubic root of 1356534032 is about 1106.9896605639.

The spelling of 1356534032 in words is "one billion, three hundred fifty-six million, five hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 532 722 784 931 1064 1444 1862 2128 2527 2888 3724 4793 5054 5776 7448 9586 10108 14896 17689 19172 20216 33551 35378 38344 40432 67102 70756 76688 91067 134204 141512 182134 234857 268408 283024 364268 469714 536816 637469 728536 939428 1274938 1457072 1730273 1878856 2549876 3460546 3757712 4462283 5099752 6921092 8924566 10199504 12111911 13842184 17849132 24223822 27684368 35698264 48447644 71396528 84783377 96895288 169566754 193790576 339133508 678267016 1356534032