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379974 = 23783109
BaseRepresentation
bin1011100110001000110
3201022020010
41130301012
544124344
612051050
73141540
oct1346106
9638203
10379974
1123a531
12163a86
13103c4a
149c690
15778b9
hex5cc46

379974 has 32 divisors (see below), whose sum is σ = 887040. Its totient is φ = 106272.

The previous prime is 379963. The next prime is 379979. The reversal of 379974 is 479973.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379979) by changing a digit.

379974 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3432 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2379974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

379974 is an abundant number, since it is smaller than the sum of its proper divisors (507066).

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

379974 is a wasteful number, since it uses less digits than its factorization.

379974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 47628, while the sum is 39.

The square root of 379974 is about 616.4203111514. The cubic root of 379974 is about 72.4299124488.

Subtracting 379974 from its reverse (479973), we obtain a palindrome (99999).

It can be divided in two parts, 37 and 9974, that added together give a triangular number (10011 = T141).

The spelling of 379974 in words is "three hundred seventy-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 83 109 166 218 249 327 498 581 654 763 1162 1526 1743 2289 3486 4578 9047 18094 27141 54282 63329 126658 189987 379974