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379340667 = 32671673767
BaseRepresentation
bin10110100111000…
…100011101111011
3222102210111120100
4112213010131323
51234102400132
6101350330443
712254225316
oct2647043573
9872714510
10379340667
11185145292
12a7059a23
136078a044
143854797d
152348237c
hex169c477b

379340667 has 24 divisors (see below), whose sum is σ = 559593216. Its totient is φ = 247561776.

The previous prime is 379340659. The next prime is 379340693. The reversal of 379340667 is 766043973.

It is not a de Polignac number, because 379340667 - 23 = 379340659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (379340167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98818 + ... + 102584.

It is an arithmetic number, because the mean of its divisors is an integer number (23316384).

Almost surely, 2379340667 is an apocalyptic number.

379340667 is a deficient number, since it is larger than the sum of its proper divisors (180252549).

379340667 is a wasteful number, since it uses less digits than its factorization.

379340667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 379340667 is about 19476.6698128813. The cubic root of 379340667 is about 723.8964849766.

The spelling of 379340667 in words is "three hundred seventy-nine million, three hundred forty thousand, six hundred sixty-seven".

Divisors: 1 3 9 67 167 201 501 603 1503 3767 11189 11301 33567 33903 100701 252389 629089 757167 1887267 2271501 5661801 42148963 126446889 379340667