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334820864 = 297103907
BaseRepresentation
bin10011111101001…
…111011000000000
3212100000122212202
4103331033120000
51141203231424
653120212332
711203634060
oct2375173000
9770018782
10334820864
11161aa7964
129416a0a8
13544a0171
14326793a0
151e5db2ae
hex13f4f600

334820864 has 80 divisors (see below), whose sum is σ = 772831488. Its totient is φ = 141944832.

The previous prime is 334820813. The next prime is 334820873. The reversal of 334820864 is 468028433.

It is a super-2 number, since 2×3348208642 = 224210021939412992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368699 + ... + 369605.

Almost surely, 2334820864 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 334820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386415744).

334820864 is an abundant number, since it is smaller than the sum of its proper divisors (438010624).

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

334820864 is an equidigital number, since it uses as much as digits as its factorization.

334820864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 334820864 is about 18298.1109407501. The cubic root of 334820864 is about 694.3911400683.

The spelling of 334820864 in words is "three hundred thirty-four million, eight hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 824 896 907 1442 1648 1792 1814 2884 3296 3584 3628 5768 6349 6592 7256 11536 12698 13184 14512 23072 25396 26368 29024 46144 50792 52736 58048 92288 93421 101584 116096 184576 186842 203168 232192 369152 373684 406336 464384 653947 747368 812672 1307894 1494736 1625344 2615788 2989472 3250688 5231576 5978944 10463152 11957888 20926304 23915776 41852608 47831552 83705216 167410432 334820864