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380254824 = 2334586813
BaseRepresentation
bin10110101010100…
…011101001101000
3222111111221120000
4112222203221220
51234321123244
6101422103000
712265053435
oct2652435150
9874457500
10380254824
1118570a094
12a741aa60
1360a1a171
1438704b8c
15235b3169
hex16aa3a68

380254824 has 40 divisors (see below), whose sum is σ = 1065067410. Its totient is φ = 126751392.

The previous prime is 380254817. The next prime is 380254829. The reversal of 380254824 is 428452083.

380254824 is a `hidden beast` number, since 380 + 254 + 8 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 314352900 + 65901924 = 17730^2 + 8118^2 .

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

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 (380254829) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 292759 + ... + 294054.

Almost surely, 2380254824 is an apocalyptic number.

It is an amenable number.

380254824 is an abundant number, since it is smaller than the sum of its proper divisors (684812586).

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

380254824 is a wasteful number, since it uses less digits than its factorization.

380254824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586831 (or 586818 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 380254824 is about 19500.1236919154. The cubic root of 380254824 is about 724.4775143157.

It can be divided in two parts, 38025 and 4824, that added together give a square (42849 = 2072).

The spelling of 380254824 in words is "three hundred eighty million, two hundred fifty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 586813 1173626 1760439 2347252 3520878 4694504 5281317 7041756 10562634 14083512 15843951 21125268 31687902 42250536 47531853 63375804 95063706 126751608 190127412 380254824