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3640420314 = 233238928219
BaseRepresentation
bin1101100011111100…
…0110011111011010
3100101201002111212000
43120333012133122
524423421422224
61401122501430
7156133030206
oct33077063732
910351074760
103640420314
1115a8a16733
12857204876
1346029307b
142676b1b06
151648e80c9
hexd8fc67da

3640420314 has 32 divisors (see below), whose sum is σ = 8093496000. Its totient is φ = 1212922512.

The previous prime is 3640420271. The next prime is 3640420319. The reversal of 3640420314 is 4130240463.

3640420314 is a `hidden beast` number, since 3 + 640 + 4 + 2 + 0 + 3 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3640420319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114897 + ... + 143115.

It is an arithmetic number, because the mean of its divisors is an integer number (252921750).

Almost surely, 23640420314 is an apocalyptic number.

3640420314 is an abundant number, since it is smaller than the sum of its proper divisors (4453075686).

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

3640420314 is a wasteful number, since it uses less digits than its factorization.

3640420314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30619 (or 30613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3640420314 is about 60335.8957338001. The cubic root of 3640420314 is about 1538.3335425474. Note that the first 3 decimals are identical.

Adding to 3640420314 its reverse (4130240463), we get a palindrome (7770660777).

The spelling of 3640420314 in words is "three billion, six hundred forty million, four hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 2389 4778 7167 14334 21501 28219 43002 56438 64503 84657 129006 169314 253971 507942 761913 1523826 67415191 134830382 202245573 404491146 606736719 1213473438 1820210157 3640420314