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379584084 = 2231111092593
BaseRepresentation
bin10110100111111…
…111111001010100
3222110020212110210
4112213333321110
51234133142314
6101355445420
712256261065
oct2647777124
9873225423
10379584084
111852a1160
12a7156870
1360843a89
14385ac56c
15234ce559
hex169ffe54

379584084 has 48 divisors (see below), whose sum is σ = 967458240. Its totient is φ = 114877440.

The previous prime is 379584083. The next prime is 379584097. The reversal of 379584084 is 480485973.

It is a super-2 number, since 2×3795840842 = 288168153652238112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379584083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145092 + ... + 147684.

It is an arithmetic number, because the mean of its divisors is an integer number (20155380).

Almost surely, 2379584084 is an apocalyptic number.

It is an amenable number.

379584084 is an abundant number, since it is smaller than the sum of its proper divisors (587874156).

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

379584084 is a wasteful number, since it uses less digits than its factorization.

379584084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 379584084 is about 19482.9177486330. The cubic root of 379584084 is about 724.0512895708.

The spelling of 379584084 in words is "three hundred seventy-nine million, five hundred eighty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1109 2218 2593 3327 4436 5186 6654 7779 10372 12199 13308 15558 24398 28523 31116 36597 48796 57046 73194 85569 114092 146388 171138 342276 2875637 5751274 8626911 11502548 17253822 31632007 34507644 63264014 94896021 126528028 189792042 379584084