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380184264 = 233253671487
BaseRepresentation
bin10110101010010…
…010011011001000
3222111101100202200
4112222102123020
51234311344024
6101420400200
712264340635
oct2652223310
9874340680
10380184264
11185671079
12a73a6060
13609c4005
14386c718c
152359c2c9
hex16a926c8

380184264 has 96 divisors (see below), whose sum is σ = 1065467520. Its totient is φ = 122398848.

The previous prime is 380184263. The next prime is 380184307. The reversal of 380184264 is 462481083.

380184264 is a `hidden beast` number, since 380 + 18 + 4 + 264 = 666.

380184264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (380184263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254929 + ... + 256415.

It is an arithmetic number, because the mean of its divisors is an integer number (11098620).

Almost surely, 2380184264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380184264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532733760).

380184264 is an abundant number, since it is smaller than the sum of its proper divisors (685283256).

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

380184264 is a wasteful number, since it uses less digits than its factorization.

380184264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 380184264 is about 19498.3143886850. The cubic root of 380184264 is about 724.4327002486.

The spelling of 380184264 in words is "three hundred eighty million, one hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 67 72 106 134 159 201 212 268 318 402 424 477 536 603 636 804 954 1206 1272 1487 1608 1908 2412 2974 3551 3816 4461 4824 5948 7102 8922 10653 11896 13383 14204 17844 21306 26766 28408 31959 35688 42612 53532 63918 78811 85224 99629 107064 127836 157622 199258 236433 255672 298887 315244 398516 472866 597774 630488 709299 797032 896661 945732 1195548 1418598 1793322 1891464 2391096 2837196 3586644 5280337 5674392 7173288 10560674 15841011 21121348 31682022 42242696 47523033 63364044 95046066 126728088 190092132 380184264