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336868416 = 2633383509
BaseRepresentation
bin10100000101000…
…011010001000000
3212110212200121000
4110011003101000
51142214242131
653232132000
711230222443
oct2405032100
9773780530
10336868416
11163176255
1294997000
1354a39131
1432a4d65a
151e892ce6
hex14143440

336868416 has 112 divisors (see below), whose sum is σ = 994867200. Its totient is φ = 111776256.

The previous prime is 336868397. The next prime is 336868417. The reversal of 336868416 is 614868633.

336868416 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 2×3368684162 = 226960659396698112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (336868417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661570 + ... + 662078.

Almost surely, 2336868416 is an apocalyptic number.

336868416 is a gapful number since it is divisible by the number (36) 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 336868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497433600).

336868416 is an abundant number, since it is smaller than the sum of its proper divisors (657998784).

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

336868416 is a wasteful number, since it uses less digits than its factorization.

336868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 897 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 336868416 is about 18353.9754821673. The cubic root of 336868416 is about 695.8037496628.

The spelling of 336868416 in words is "three hundred thirty-six million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 383 432 509 576 766 864 1018 1149 1527 1532 1728 2036 2298 3054 3064 3447 4072 4581 4596 6108 6128 6894 8144 9162 9192 10341 12216 12256 13743 13788 16288 18324 18384 20682 24432 24512 27486 27576 32576 36648 36768 41364 48864 54972 55152 73296 73536 82728 97728 109944 110304 146592 165456 194947 219888 220608 293184 330912 389894 439776 584841 661824 779788 879552 1169682 1559576 1754523 2339364 3119152 3509046 4678728 5263569 6238304 7018092 9357456 10527138 12476608 14036184 18714912 21054276 28072368 37429824 42108552 56144736 84217104 112289472 168434208 336868416