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364214412 = 223231674871
BaseRepresentation
bin10101101101010…
…111100010001100
3221101100000020200
4111231113202030
51221214330122
6100050213500
712011525412
oct2555274214
9841300220
10364214412
11177653751
12a1b84290
135a5c20b3
143652b2b2
1521e955ac
hex15b5788c

364214412 has 72 divisors (see below), whose sum is σ = 964733952. Its totient is φ = 115711200.

The previous prime is 364214399. The next prime is 364214413. The reversal of 364214412 is 214412463.

It is a happy number.

364214412 is a `hidden beast` number, since 3 + 642 + 1 + 4 + 4 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364214413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72337 + ... + 77207.

Almost surely, 2364214412 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 364214412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482366976).

364214412 is an abundant number, since it is smaller than the sum of its proper divisors (600519540).

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

364214412 is a wasteful number, since it uses less digits than its factorization.

364214412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4974 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 364214412 is about 19084.4023223155. The cubic root of 364214412 is about 714.1438638622.

Adding to 364214412 its reverse (214412463), we get a palindrome (578626875).

The spelling of 364214412 in words is "three hundred sixty-four million, two hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 186 201 268 279 372 402 558 603 804 1116 1206 2077 2412 4154 4871 6231 8308 9742 12462 14613 18693 19484 24924 29226 37386 43839 58452 74772 87678 151001 175356 302002 326357 453003 604004 652714 906006 979071 1305428 1359009 1812012 1958142 2718018 2937213 3916284 5436036 5874426 10117067 11748852 20234134 30351201 40468268 60702402 91053603 121404804 182107206 364214412