Search a number
-
+
40338576 = 2432280129
BaseRepresentation
bin1001100111100…
…0010010010000
32210220102010100
42121320102100
540311313301
64000332400
7666605115
oct231702220
983812110
1040338576
1120851a73
1211614100
1384849a5
14550090c
15381c286
hex2678490

40338576 has 30 divisors (see below), whose sum is σ = 112892390. Its totient is φ = 13446144.

The previous prime is 40338553. The next prime is 40338587. The reversal of 40338576 is 67583304.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 7160976 = 5760^2 + 2676^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40338576.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139921 + ... + 140208.

Almost surely, 240338576 is an apocalyptic number.

It is an amenable number.

40338576 is an abundant number, since it is smaller than the sum of its proper divisors (72553814).

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

40338576 is a wasteful number, since it uses less digits than its factorization.

40338576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280143 (or 280134 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 40338576 is about 6351.2657006301. The cubic root of 40338576 is about 342.9574075806.

The spelling of 40338576 in words is "forty million, three hundred thirty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 280129 560258 840387 1120516 1680774 2241032 2521161 3361548 4482064 5042322 6723096 10084644 13446192 20169288 40338576