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334220520 = 23354167931
BaseRepresentation
bin10011111010111…
…100110011101000
3212021220011100210
4103322330303220
51141030024040
653055301120
711165553564
oct2372746350
9767804323
10334220520
11161727907
1293b1a7a0
135431cb2a
14325606a4
151e51d480
hex13ebcce8

334220520 has 64 divisors (see below), whose sum is σ = 1027131840. Its totient is φ = 86950400.

The previous prime is 334220489. The next prime is 334220569. The reversal of 334220520 is 25022433.

334220520 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 2×3342205202 = 223406711978140800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29046 + ... + 38885.

It is an arithmetic number, because the mean of its divisors is an integer number (16048935).

Almost surely, 2334220520 is an apocalyptic number.

334220520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334220520 is an abundant number, since it is smaller than the sum of its proper divisors (692911320).

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

334220520 is a wasteful number, since it uses less digits than its factorization.

334220520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67986 (or 67982 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 334220520 is about 18281.6990457671. The cubic root of 334220520 is about 693.9758702892.

Adding to 334220520 its reverse (25022433), we get a palindrome (359242953).

The spelling of 334220520 in words is "three hundred thirty-four million, two hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 67931 135862 203793 271724 339655 407586 543448 679310 815172 1018965 1358620 1630344 2037930 2717240 2785171 4075860 5570342 8151720 8355513 11140684 13925855 16711026 22281368 27851710 33422052 41777565 55703420 66844104 83555130 111406840 167110260 334220520