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334403580 = 223571994001
BaseRepresentation
bin10011111011101…
…001011111111100
3212022020110110210
4103323221133330
51141101403310
653103232420
711200245360
oct2373513774
9768213423
10334403580
111618423a5
1293ba8710
1354385254
14325ab2a0
151e557820
hex13ee97fc

334403580 has 96 divisors (see below), whose sum is σ = 1075737600. Its totient is φ = 76032000.

The previous prime is 334403551. The next prime is 334403599. The reversal of 334403580 is 85304433.

334403580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344035802 = 223651508633632800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 81580 + ... + 85580.

It is an arithmetic number, because the mean of its divisors is an integer number (11205600).

Almost surely, 2334403580 is an apocalyptic number.

334403580 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 334403580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537868800).

334403580 is an abundant number, since it is smaller than the sum of its proper divisors (741334020).

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

334403580 is a wasteful number, since it uses less digits than its factorization.

334403580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 334403580 is about 18286.7050066435. The cubic root of 334403580 is about 694.1025491616.

The spelling of 334403580 in words is "three hundred thirty-four million, four hundred three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 199 210 398 420 597 796 995 1194 1393 1990 2388 2786 2985 3980 4001 4179 5572 5970 6965 8002 8358 11940 12003 13930 16004 16716 20005 20895 24006 27860 28007 40010 41790 48012 56014 60015 80020 83580 84021 112028 120030 140035 168042 240060 280070 336084 420105 560140 796199 840210 1592398 1680420 2388597 3184796 3980995 4777194 5573393 7961990 9554388 11146786 11942985 15923980 16720179 22293572 23885970 27866965 33440358 47771940 55733930 66880716 83600895 111467860 167201790 334403580