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6340936900 = 225279632
BaseRepresentation
bin1011110011111001…
…10000010011000100
3121100220120222011211
411321330300103010
5100441234440100
62525112141204
7313064034334
oct57174602304
917326528154
106340936900
112764325821
12128b697804
137a08ca98c
144421db0c4
15271a311ba
hex179f304c4

6340936900 has 27 divisors (see below), whose sum is σ = 13761561261. Its totient is φ = 2536056240.

The previous prime is 6340936867. The next prime is 6340936933. The reversal of 6340936900 is 96390436.

The square root of 6340936900 is 79630.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (6340936867) and next prime (6340936933).

It can be written as a sum of positive squares in only one way, i.e., 2282737284 + 4058199616 = 47778^2 + 63704^2 .

It is a super-2 number, since 2×63409369002 = 80414961539563220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 792319 + ... + 800281.

Almost surely, 26340936900 is an apocalyptic number.

6340936900 is the 79630-th square number.

It is an amenable number.

6340936900 is an abundant number, since it is smaller than the sum of its proper divisors (7420624361).

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

6340936900 is an frugal number, since it uses more digits than its factorization.

6340936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15940 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The cubic root of 6340936900 is about 1850.9064853891.

Multiplying 6340936900 by its product of nonzero digits (104976), we get a square (665646192014400 = 258001202).

The spelling of 6340936900 in words is "six billion, three hundred forty million, nine hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7963 15926 31852 39815 79630 159260 199075 398150 796300 63409369 126818738 253637476 317046845 634093690 1268187380 1585234225 3170468450 6340936900