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1353145352 = 2313375932
BaseRepresentation
bin101000010100111…
…0101110000001000
310111022011220110112
41100221311300020
510232401122402
6342134333452
745350355116
oct12051656010
93438156415
101353145352
116348a7149
123191ba288
13187454c30
14cb9d6ab6
157dbdbe52
hex50a75c08

1353145352 has 48 divisors (see below), whose sum is σ = 2810899140. Its totient is φ = 606624768.

The previous prime is 1353145337. The next prime is 1353145373. The reversal of 1353145352 is 2535413531.

It can be written as a sum of positive squares in 6 ways, for example, as 874148356 + 478996996 = 29566^2 + 21886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2281568 + ... + 2282160.

Almost surely, 21353145352 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 1353145352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405449570).

1353145352 is an abundant number, since it is smaller than the sum of its proper divisors (1457753788).

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

1353145352 is an equidigital number, since it uses as much as digits as its factorization.

1353145352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 645 counting only the distinct ones).

The product of its digits is 27000, while the sum is 32.

The square root of 1353145352 is about 36785.1240585104. The cubic root of 1353145352 is about 1106.0671227930.

Adding to 1353145352 its reverse (2535413531), we get a palindrome (3888558883).

The spelling of 1353145352 in words is "one billion, three hundred fifty-three million, one hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 593 962 1186 1924 2372 3848 4744 7709 15418 21941 30836 43882 61672 87764 175528 285233 351649 570466 703298 1140932 1406596 2281864 2813192 4571437 9142874 13011013 18285748 26022026 36571496 52044052 104088104 169143169 338286338 676572676 1353145352