Search a number
-
+
358041330 = 23356121739
BaseRepresentation
bin10101010101110…
…100011011110010
3220221201101101000
4111111310123302
51213124310310
655310022430
711605205163
oct2525643362
9827641330
10358041330
11174117829
129baa7a16
135924039a
14357a176a
15216764c0
hex155746f2

358041330 has 64 divisors (see below), whose sum is σ = 970473600. Its totient is φ = 93908160.

The previous prime is 358041317. The next prime is 358041371. The reversal of 358041330 is 33140853.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 358041294 and 358041303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5601 + ... + 27339.

It is an arithmetic number, because the mean of its divisors is an integer number (15163650).

Almost surely, 2358041330 is an apocalyptic number.

358041330 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 358041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485236800).

358041330 is an abundant number, since it is smaller than the sum of its proper divisors (612432270).

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

358041330 is a wasteful number, since it uses less digits than its factorization.

358041330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21816 (or 21810 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 358041330 is about 18921.9800760914. The cubic root of 358041330 is about 710.0861695323.

The spelling of 358041330 in words is "three hundred fifty-eight million, forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 8235 16470 21739 43478 65217 108695 130434 195651 217390 326085 391302 586953 652170 978255 1173906 1326079 1956510 2652158 2934765 3978237 5869530 6630395 7956474 11934711 13260790 19891185 23869422 35804133 39782370 59673555 71608266 119347110 179020665 358041330