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1355325024 = 253192393109
BaseRepresentation
bin101000011001000…
…1001111001100000
310111110021122102010
41100302021321200
510233430400044
6342253152520
745405033624
oct12062117140
93443248363
101355325024
11636055829
12319a8b740
13187a39091
14cc003184
157debcbb9
hex50c89e60

1355325024 has 96 divisors (see below), whose sum is σ = 3761856000. Its totient is φ = 426069504.

The previous prime is 1355325007. The next prime is 1355325061. The reversal of 1355325024 is 4205235531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1355324982 and 1355325000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434382 + ... + 437490.

It is an arithmetic number, because the mean of its divisors is an integer number (39186000).

Almost surely, 21355325024 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 1355325024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880928000).

1355325024 is an abundant number, since it is smaller than the sum of its proper divisors (2406530976).

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

1355325024 is a wasteful number, since it uses less digits than its factorization.

1355325024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1355325024 is about 36814.7392222191. The cubic root of 1355325024 is about 1106.6606954404.

The spelling of 1355325024 in words is "one billion, three hundred fifty-five million, three hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 239 304 456 478 608 717 912 956 1434 1824 1912 2868 3109 3824 4541 5736 6218 7648 9082 9327 11472 12436 13623 18164 18654 22944 24872 27246 36328 37308 49744 54492 59071 72656 74616 99488 108984 118142 145312 149232 177213 217968 236284 298464 354426 435936 472568 708852 743051 945136 1417704 1486102 1890272 2229153 2835408 2972204 4458306 5670816 5944408 8916612 11888816 14117969 17833224 23777632 28235938 35666448 42353907 56471876 71332896 84707814 112943752 169415628 225887504 338831256 451775008 677662512 1355325024