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364196340 = 223252023313
BaseRepresentation
bin10101101101010…
…011000111110100
3221101022002110100
4111231103013310
51221213240330
6100045554100
712011421624
oct2555230764
9841262410
10364196340
11177641112
12a1b75930
135a5b6ac1
1436524884
1521e90060
hex15b531f4

364196340 has 36 divisors (see below), whose sum is σ = 1104729444. Its totient is φ = 97118976.

The previous prime is 364196309. The next prime is 364196341. The reversal of 364196340 is 43691463.

364196340 is a `hidden beast` number, since 3 + 6 + 4 + 19 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 299843856 = 8022^2 + 17316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 364196295 and 364196304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364196341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011477 + ... + 1011836.

It is an arithmetic number, because the mean of its divisors is an integer number (30686929).

Almost surely, 2364196340 is an apocalyptic number.

364196340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364196340 is an abundant number, since it is smaller than the sum of its proper divisors (740533104).

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

364196340 is a wasteful number, since it uses less digits than its factorization.

364196340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023328 (or 2023323 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 364196340 is about 19083.9288407812. The cubic root of 364196340 is about 714.1320519359.

The spelling of 364196340 in words is "three hundred sixty-four million, one hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2023313 4046626 6069939 8093252 10116565 12139878 18209817 20233130 24279756 30349695 36419634 40466260 60699390 72839268 91049085 121398780 182098170 364196340