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379016430 = 235134632099
BaseRepresentation
bin10110100101110…
…101010011101110
3222102012000210120
4112211311103232
51234012011210
6101335345410
712251405112
oct2645652356
9872160716
10379016430
11184a43721
12a6b22266
13606a55a0
14384a1742
152341b270
hex169754ee

379016430 has 64 divisors (see below), whose sum is σ = 982195200. Its totient is φ = 93050496.

The previous prime is 379016383. The next prime is 379016437. The reversal of 379016430 is 34610973.

It is a junction number, because it is equal to n+sod(n) for n = 379016391 and 379016400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379016437) 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 31 ways as a sum of consecutive naturals, for example, 179521 + ... + 181619.

It is an arithmetic number, because the mean of its divisors is an integer number (15346800).

Almost surely, 2379016430 is an apocalyptic number.

379016430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379016430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491097600).

379016430 is an abundant number, since it is smaller than the sum of its proper divisors (603178770).

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

379016430 is a wasteful number, since it uses less digits than its factorization.

379016430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 379016430 is about 19468.3443055644. The cubic root of 379016430 is about 723.6901788339.

The spelling of 379016430 in words is "three hundred seventy-nine million, sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 463 926 1389 2099 2315 2778 4198 4630 6019 6297 6945 10495 12038 12594 13890 18057 20990 27287 30095 31485 36114 54574 60190 62970 81861 90285 136435 163722 180570 272870 409305 818610 971837 1943674 2915511 4859185 5831022 9718370 12633881 14577555 25267762 29155110 37901643 63169405 75803286 126338810 189508215 379016430