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364040430 = 235137113147
BaseRepresentation
bin10101101100101…
…101000011101110
3221101000011120220
4111230231003232
51221143243210
6100042352210
712010202235
oct2554550356
9841004526
10364040430
11177544a66
12a1abb666
135a560b50
14364c3b1c
1521e5dc70
hex15b2d0ee

364040430 has 64 divisors (see below), whose sum is σ = 954229248. Its totient is φ = 88341120.

The previous prime is 364040357. The next prime is 364040449. The reversal of 364040430 is 34040463.

It is a self number, because there is not a number n which added to its sum of digits gives 364040430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21117 + ... + 34263.

It is an arithmetic number, because the mean of its divisors is an integer number (14909832).

Almost surely, 2364040430 is an apocalyptic number.

364040430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 364040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477114624).

364040430 is an abundant number, since it is smaller than the sum of its proper divisors (590188818).

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

364040430 is a wasteful number, since it uses less digits than its factorization.

364040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13241.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 364040430 is about 19079.8435528177. The cubic root of 364040430 is about 714.0301323504.

Adding to 364040430 its reverse (34040463), we get a palindrome (398080893).

The spelling of 364040430 in words is "three hundred sixty-four million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1846 2130 2769 4615 5538 9230 13147 13845 26294 27690 39441 65735 78882 131470 170911 197205 341822 394410 512733 854555 933437 1025466 1709110 1866874 2563665 2800311 4667185 5127330 5600622 9334370 12134681 14001555 24269362 28003110 36404043 60673405 72808086 121346810 182020215 364040430