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1353740232 = 2331322319457
BaseRepresentation
bin101000010110000…
…0110111111001000
310111100022010111010
41100230012333020
510233024141412
6342155203520
745355413345
oct12054067710
93440263433
101353740232
11635173089
123194465a0
13187602930
14cbb0d7cc
157dca833c
hex50b06fc8

1353740232 has 64 divisors (see below), whose sum is σ = 3661217280. Its totient is φ = 414646272.

The previous prime is 1353740231. The next prime is 1353740239. The reversal of 1353740232 is 2320473531.

It is a super-2 number, since 2×13537402322 = 3665225231470827648, 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 1353740232.

It is not an unprimeable number, because it can be changed into a prime (1353740231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59848 + ... + 79304.

It is an arithmetic number, because the mean of its divisors is an integer number (57206520).

Almost surely, 21353740232 is an apocalyptic number.

1353740232 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 1353740232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830608640).

1353740232 is an abundant number, since it is smaller than the sum of its proper divisors (2307477048).

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

1353740232 is a wasteful number, since it uses less digits than its factorization.

1353740232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19702 (or 19698 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 1353740232 is about 36793.2090473228. The cubic root of 1353740232 is about 1106.2291849127.

The spelling of 1353740232 in words is "one billion, three hundred fifty-three million, seven hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 223 312 446 669 892 1338 1784 2676 2899 5352 5798 8697 11596 17394 19457 23192 34788 38914 58371 69576 77828 116742 155656 233484 252941 466968 505882 758823 1011764 1517646 2023528 3035292 4338911 6070584 8677822 13016733 17355644 26033466 34711288 52066932 56405843 104133864 112811686 169217529 225623372 338435058 451246744 676870116 1353740232