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334850820 = 223529533631
BaseRepresentation
bin10011111101010…
…110101100000100
3212100002011222020
4103331112230010
51141210211240
653121003140
711204120313
oct2375265404
9770064866
10334850820
11162018417
12941834b0
13544b09a5
143268627a
151e5e50d0
hex13f56b04

334850820 has 96 divisors (see below), whose sum is σ = 988485120. Its totient is φ = 84564480.

The previous prime is 334850807. The next prime is 334850821. The reversal of 334850820 is 28058433.

It is a super-2 number, since 2×3348508202 = 224250143309344800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334850821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90405 + ... + 94035.

It is an arithmetic number, because the mean of its divisors is an integer number (10296720).

Almost surely, 2334850820 is an apocalyptic number.

334850820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334850820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494242560).

334850820 is an abundant number, since it is smaller than the sum of its proper divisors (653634300).

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

334850820 is a wasteful number, since it uses less digits than its factorization.

334850820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 334850820 is about 18298.9294768847. The cubic root of 334850820 is about 694.4118482170.

The spelling of 334850820 in words is "three hundred thirty-four million, eight hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 53 58 60 87 106 116 145 159 174 212 265 290 318 348 435 530 580 636 795 870 1060 1537 1590 1740 3074 3180 3631 4611 6148 7262 7685 9222 10893 14524 15370 18155 18444 21786 23055 30740 36310 43572 46110 54465 72620 92220 105299 108930 192443 210598 217860 315897 384886 421196 526495 577329 631794 769772 962215 1052990 1154658 1263588 1579485 1924430 2105980 2309316 2886645 3158970 3848860 5580847 5773290 6317940 11161694 11546580 16742541 22323388 27904235 33485082 55808470 66970164 83712705 111616940 167425410 334850820