Search a number
-
+
379800072 = 233221612441
BaseRepresentation
bin10110101000110…
…100101000001000
3222110122211202100
4112220310220020
51234212100242
6101404233400
712261150561
oct2650645010
9873584670
10379800072
11185429463
12a723b860
13608bb192
1438627168
152352354c
hex16a34a08

379800072 has 48 divisors (see below), whose sum is σ = 1029522780. Its totient is φ = 126489600.

The previous prime is 379800061. The next prime is 379800073. The reversal of 379800072 is 270008973.

It can be written as a sum of positive squares in 2 ways, for example, as 368870436 + 10929636 = 19206^2 + 3306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (379800073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154372 + ... + 156812.

Almost surely, 2379800072 is an apocalyptic number.

It is an amenable number.

379800072 is an abundant number, since it is smaller than the sum of its proper divisors (649722708).

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

379800072 is a wasteful number, since it uses less digits than its factorization.

379800072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 379800072 is about 19488.4599699412. The cubic root of 379800072 is about 724.1885948864.

The spelling of 379800072 in words is "three hundred seventy-nine million, eight hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2161 2441 4322 4882 6483 7323 8644 9764 12966 14646 17288 19449 19528 21969 25932 29292 38898 43938 51864 58584 77796 87876 155592 175752 5275001 10550002 15825003 21100004 31650006 42200008 47475009 63300012 94950018 126600024 189900036 379800072