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402300340 = 2251311313693
BaseRepresentation
bin10111111110101…
…001110110110100
31001000222222022121
4113332221312310
51310442102330
6103530405324
712653332201
oct2776516664
91030888277
10402300340
111970a7222
12b2890844
1365468650
143b602ca8
15254ba17a
hex17fa9db4

402300340 has 48 divisors (see below), whose sum is σ = 917936208. Its totient is φ = 147216384.

The previous prime is 402300331. The next prime is 402300403. The reversal of 402300340 is 43003204.

It can be written as a sum of positive squares in 8 ways, for example, as 18610596 + 383689744 = 4314^2 + 19588^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22534 + ... + 36226.

It is an arithmetic number, because the mean of its divisors is an integer number (19123671).

Almost surely, 2402300340 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 402300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458968104).

402300340 is an abundant number, since it is smaller than the sum of its proper divisors (515635868).

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

402300340 is a wasteful number, since it uses less digits than its factorization.

402300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 402300340 is about 20057.4260562017. The cubic root of 402300340 is about 738.2160216416.

Adding to 402300340 its reverse (43003204), we get a palindrome (445303544).

The spelling of 402300340 in words is "four hundred two million, three hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 13693 14690 27386 29380 54772 68465 136930 178009 273860 356018 712036 890045 1547309 1780090 3094618 3560180 6189236 7736545 15473090 20115017 30946180 40230034 80460068 100575085 201150170 402300340