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3640531416 = 23353254001
BaseRepresentation
bin1101100011111110…
…0001100111011000
3100101201022011020220
43120333201213120
524423434001131
61401125120040
7156134002134
oct33077414730
910351264226
103640531416
1115a8a92155
12857259020
13460301802
142677003c4
1516491ae96
hexd8fe19d8

3640531416 has 48 divisors (see below), whose sum is σ = 9276463560. Its totient is φ = 1190592000.

The previous prime is 3640531337. The next prime is 3640531421. The reversal of 3640531416 is 6141350463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40416 + ... + 94416.

Almost surely, 23640531416 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 3640531416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638231780).

3640531416 is an abundant number, since it is smaller than the sum of its proper divisors (5635932144).

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

3640531416 is a wasteful number, since it uses less digits than its factorization.

3640531416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54116 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3640531416 is about 60336.8164224796. The cubic root of 3640531416 is about 1538.3491918571.

Adding to 3640531416 its reverse (6141350463), we get a palindrome (9781881879).

The spelling of 3640531416 in words is "three billion, six hundred forty million, five hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 2809 5618 8427 11236 16854 22472 33708 54001 67416 108002 162003 216004 324006 432008 648012 1296024 2862053 5724106 8586159 11448212 17172318 22896424 34344636 68689272 151688809 303377618 455066427 606755236 910132854 1213510472 1820265708 3640531416