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1355040352 = 251719912517
BaseRepresentation
bin101000011000100…
…0100011001100000
310111102202011220201
41100301010121200
510233342242402
6342243114544
745402436651
oct12061043140
93442664821
101355040352
11635980966
12319972a54
13187969633
14cbd6b528
157de63687
hex50c44660

1355040352 has 48 divisors (see below), whose sum is σ = 2839082400. Its totient is φ = 634411008.

The previous prime is 1355040299. The next prime is 1355040389. The reversal of 1355040352 is 2530405531.

It is a super-2 number, since 2×13550403522 = 3672268711096567808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1355040352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101998 + ... + 114514.

It is an arithmetic number, because the mean of its divisors is an integer number (59147550).

Almost surely, 21355040352 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 1355040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419541200).

1355040352 is an abundant number, since it is smaller than the sum of its proper divisors (1484042048).

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

1355040352 is a wasteful number, since it uses less digits than its factorization.

1355040352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12743 (or 12735 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 1355040352 is about 36810.8727416235. The cubic root of 1355040352 is about 1106.5832091383.

Adding to 1355040352 its reverse (2530405531), we get a palindrome (3885445883).

The spelling of 1355040352 in words is "one billion, three hundred fifty-five million, forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 199 272 398 544 796 1592 3184 3383 6368 6766 12517 13532 25034 27064 50068 54128 100136 108256 200272 212789 400544 425578 851156 1702312 2490883 3404624 4981766 6809248 9963532 19927064 39854128 42345011 79708256 84690022 169380044 338760088 677520176 1355040352