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336406016 = 29798317
BaseRepresentation
bin10100000011010…
…010011000000000
3212110000012022002
4110003102120000
51142104443031
653214203132
711223255362
oct2403223000
9773005262
10336406016
1116298a901
12947b34a8
135490681b
143296cd32
151e800ccb
hex140d2600

336406016 has 40 divisors (see below), whose sum is σ = 680745120. Its totient is φ = 166053888.

The previous prime is 336406009. The next prime is 336406019. The reversal of 336406016 is 610604633.

It is a super-2 number, since 2×3364060162 = 226338015201984512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336406016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336406019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36290 + ... + 44606.

It is an arithmetic number, because the mean of its divisors is an integer number (17018628).

Almost surely, 2336406016 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 336406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340372560).

336406016 is an abundant number, since it is smaller than the sum of its proper divisors (344339104).

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

336406016 is an frugal number, since it uses more digits than its factorization.

336406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 336406016 is about 18341.3744305055. The cubic root of 336406016 is about 695.4852405535.

The spelling of 336406016 in words is "three hundred thirty-six million, four hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1264 2528 5056 8317 10112 16634 20224 33268 40448 66536 133072 266144 532288 657043 1064576 1314086 2129152 2628172 4258304 5256344 10512688 21025376 42050752 84101504 168203008 336406016