Search a number
-
+
6364840 = 235413881
BaseRepresentation
bin11000010001111010101000
3102222100220211
4120101322220
53112133330
6344230504
7105046246
oct30217250
912870824
106364840
113657aa9
12216b434
13141b0a1
14bb9796
1585ad2a
hex611ea8

6364840 has 32 divisors (see below), whose sum is σ = 14673960. Its totient is φ = 2483200.

The previous prime is 6364819. The next prime is 6364847. The reversal of 6364840 is 484636.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 2515396 = 1962^2 + 1586^2 .

It is a super-2 number, since 2×63648402 = 81022376451200, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6364847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301 + ... + 3580.

Almost surely, 26364840 is an apocalyptic number.

It is an amenable number.

6364840 is an abundant number, since it is smaller than the sum of its proper divisors (8309120).

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

6364840 is a wasteful number, since it uses less digits than its factorization.

6364840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6364840 is about 2522.8634525079. The cubic root of 6364840 is about 185.3229324368.

It can be divided in two parts, 636 and 4840, that added together give a square (5476 = 742).

The spelling of 6364840 in words is "six million, three hundred sixty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 3881 7762 15524 19405 31048 38810 77620 155240 159121 318242 636484 795605 1272968 1591210 3182420 6364840