Search a number
-
+
379030180 = 225312772207
BaseRepresentation
bin10110100101111…
…000101010100100
3222102012201122211
4112211320222210
51234012431210
6101335533204
712251463154
oct2645705244
9872181584
10379030180
11184a52a91
12a6b2a204
13606ab919
14384a6764
152342038a
hex16978aa4

379030180 has 48 divisors (see below), whose sum is σ = 824979456. Its totient is φ = 146125440.

The previous prime is 379030177. The next prime is 379030213. The reversal of 379030180 is 81030973.

379030180 = T397 + T398 + ... + T1326.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170637 + ... + 172843.

It is an arithmetic number, because the mean of its divisors is an integer number (17187072).

Almost surely, 2379030180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379030180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412489728).

379030180 is an abundant number, since it is smaller than the sum of its proper divisors (445949276).

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

379030180 is a wasteful number, since it uses less digits than its factorization.

379030180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 379030180 is about 19468.6974397364. The cubic root of 379030180 is about 723.6989300989.

The spelling of 379030180 in words is "three hundred seventy-nine million, thirty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 124 155 277 310 554 620 1108 1385 2207 2770 4414 5540 8587 8828 11035 17174 22070 34348 42935 44140 68417 85870 136834 171740 273668 342085 611339 684170 1222678 1368340 2445356 3056695 6113390 12226780 18951509 37903018 75806036 94757545 189515090 379030180