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1355734272 = 2834361673
BaseRepresentation
bin101000011001110…
…1101110100000000
310111111001102210110
41100303231310000
510234031444042
6342310031320
745411360024
oct12063556400
93444042713
101355734272
11636305252
1231a048540
13187b50439
14cc0ac384
157e04e09c
hex50cedd00

1355734272 has 144 divisors (see below), whose sum is σ = 3758245568. Its totient is φ = 433520640.

The previous prime is 1355734267. The next prime is 1355734321. The reversal of 1355734272 is 2724375531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355734272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2014128 + ... + 2014800.

Almost surely, 21355734272 is an apocalyptic number.

1355734272 is a gapful number since it is divisible by the number (12) 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 1355734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879122784).

1355734272 is an abundant number, since it is smaller than the sum of its proper divisors (2402511296).

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

1355734272 is an equidigital number, since it uses as much as digits as its factorization.

1355734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 1355734272 is about 36820.2970112953. The cubic root of 1355734272 is about 1106.7720717009.

The spelling of 1355734272 in words is "one billion, three hundred fifty-five million, seven hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 61 64 86 96 122 128 129 172 183 192 244 256 258 344 366 384 488 516 673 688 732 768 976 1032 1346 1376 1464 1952 2019 2064 2623 2692 2752 2928 3904 4038 4128 5246 5384 5504 5856 7808 7869 8076 8256 10492 10768 11008 11712 15616 15738 16152 16512 20984 21536 23424 28939 31476 32304 33024 41053 41968 43072 46848 57878 62952 64608 82106 83936 86144 86817 115756 123159 125904 129216 164212 167872 172288 173634 231512 246318 251808 258432 328424 335744 347268 463024 492636 503616 516864 656848 671488 694536 926048 985272 1007232 1313696 1389072 1765279 1852096 1970544 2014464 2627392 2778144 3530558 3704192 3941088 5254784 5295837 5556288 7061116 7408384 7882176 10509568 10591674 11112576 14122232 15764352 21183348 22225152 28244464 31528704 42366696 56488928 84733392 112977856 169466784 225955712 338933568 451911424 677867136 1355734272