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816840144 = 24325672501
BaseRepresentation
bin110000101011111…
…111110111010000
32002221000210000200
4300223333313100
53133102341034
6213015415200
726146012101
oct6053776720
92087023020
10816840144
1138a0a30aa
121a9684500
131002cac83
147a6b03a8
154baa1a99
hex30affdd0

816840144 has 30 divisors (see below), whose sum is σ = 2286018306. Its totient is φ = 272280000.

The previous prime is 816840139. The next prime is 816840181. The reversal of 816840144 is 441048618.

It can be written as a sum of positive squares in only one way, i.e., 697593744 + 119246400 = 26412^2 + 10920^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 816840099 and 816840108.

It is a congruent number.

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, 2836107 + ... + 2836394.

Almost surely, 2816840144 is an apocalyptic number.

It is an amenable number.

816840144 is an abundant number, since it is smaller than the sum of its proper divisors (1469178162).

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

816840144 is a wasteful number, since it uses less digits than its factorization.

816840144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672515 (or 5672506 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 816840144 is about 28580.4153923627. The cubic root of 816840144 is about 934.7863406486.

The spelling of 816840144 in words is "eight hundred sixteen million, eight hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5672501 11345002 17017503 22690004 34035006 45380008 51052509 68070012 90760016 102105018 136140024 204210036 272280048 408420072 816840144