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379242973 = 598972223
BaseRepresentation
bin10110100110101…
…100100111011101
3222102121112120001
4112212230213131
51234041233343
6101344254301
712253340434
oct2646544735
9872545501
10379242973
1118508894a
12a7011391
1360754735
143852011b
152346344d
hex169ac9dd

379242973 has 8 divisors (see below), whose sum is σ = 390009600. Its totient is φ = 368621088.

The previous prime is 379242967. The next prime is 379242979.

It is a happy number.

379242973 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (379242967) and next prime (379242979).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-379242973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379242979) 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 7 ways as a sum of consecutive naturals, for example, 30861 + ... + 41362.

It is an arithmetic number, because the mean of its divisors is an integer number (48751200).

Almost surely, 2379242973 is an apocalyptic number.

It is an amenable number.

379242973 is a deficient number, since it is larger than the sum of its proper divisors (10766627).

379242973 is an equidigital number, since it uses as much as digits as its factorization.

379242973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72371.

The product of its digits is 571536, while the sum is 46.

The square root of 379242973 is about 19474.1616764368. The cubic root of 379242973 is about 723.8343364285.

The spelling of 379242973 in words is "three hundred seventy-nine million, two hundred forty-two thousand, nine hundred seventy-three".

Divisors: 1 59 89 5251 72223 4261157 6427847 379242973