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379923075 = 3352780407
BaseRepresentation
bin10110101001010…
…010101010000011
3222110220002111000
4112221102222003
51234230014300
6101411023043
712262202310
oct2651225203
9873802430
10379923075
11185502914
12a729aa83
136093216c
1438659d07
1523549c00
hex16a52a83

379923075 has 48 divisors (see below), whose sum is σ = 797647360. Its totient is φ = 173676960.

The previous prime is 379923029. The next prime is 379923077. The reversal of 379923075 is 570329973.

It is not a de Polignac number, because 379923075 - 28 = 379922819 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 379923075.

It is not an unprimeable number, because it can be changed into a prime (379923077) 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 47 ways as a sum of consecutive naturals, for example, 35479 + ... + 44928.

Almost surely, 2379923075 is an apocalyptic number.

379923075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

379923075 is an abundant number, since it is smaller than the sum of its proper divisors (417724285).

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

379923075 is a wasteful number, since it uses less digits than its factorization.

379923075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80433 (or 80422 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 379923075 is about 19491.6155051345. The cubic root of 379923075 is about 724.2667656239.

The spelling of 379923075 in words is "three hundred seventy-nine million, nine hundred twenty-three thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 80407 241221 402035 562849 723663 1206105 1688547 2010175 2170989 2814245 3618315 5065641 6030525 8442735 10854945 14071225 15196923 18091575 25328205 42213675 54274725 75984615 126641025 379923075