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335040512 = 212157521
BaseRepresentation
bin10011111110000…
…101000000000000
3212100102211011212
4103332011000000
51141232244022
653125025252
711205540332
oct2376050000
9770384155
10335040512
11162137994
1294255228
1354549131
14326d5452
151e6313e2
hex13f85000

335040512 has 52 divisors (see below), whose sum is σ = 675560916. Its totient is φ = 166133760.

The previous prime is 335040499. The next prime is 335040523. The reversal of 335040512 is 215040533.

It can be written as a sum of positive squares in 2 ways, for example, as 97140736 + 237899776 = 9856^2 + 15424^2 .

It is a super-2 number, since 2×3350405122 = 224504289362444288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642812 + ... + 643332.

Almost surely, 2335040512 is an apocalyptic number.

335040512 is a gapful number since it is divisible by the number (32) 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 335040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337780458).

335040512 is an abundant number, since it is smaller than the sum of its proper divisors (340520404).

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

335040512 is an equidigital number, since it uses as much as digits as its factorization.

335040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 335040512 is about 18304.1118877699. Note that the first 3 decimals coincide. The cubic root of 335040512 is about 694.5429508836.

The spelling of 335040512 in words is "three hundred thirty-five million, forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 521 628 1024 1042 1256 2048 2084 2512 4096 4168 5024 8336 10048 16672 20096 33344 40192 66688 80384 81797 133376 160768 163594 266752 321536 327188 533504 643072 654376 1067008 1308752 2134016 2617504 5235008 10470016 20940032 41880064 83760128 167520256 335040512