Search a number
-
+
336056032 = 25131794513
BaseRepresentation
bin10100000001111…
…100111011100000
3212102100102012201
4110001330323200
51142012243112
653202502544
711220300124
oct2401747340
9772312181
10336056032
11162770964
1294664a54
1354813430
14328bb584
151e782257
hex1407cee0

336056032 has 48 divisors (see below), whose sum is σ = 716642640. Its totient is φ = 154202112.

The previous prime is 336056029. The next prime is 336056033. The reversal of 336056032 is 230650633.

336056032 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 2×3360560322 = 225867313287170048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336056033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72208 + ... + 76720.

It is an arithmetic number, because the mean of its divisors is an integer number (14930055).

Almost surely, 2336056032 is an apocalyptic number.

336056032 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 336056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358321320).

336056032 is an abundant number, since it is smaller than the sum of its proper divisors (380586608).

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

336056032 is a wasteful number, since it uses less digits than its factorization.

336056032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The square root of 336056032 is about 18331.8311142122. The cubic root of 336056032 is about 695.2439714176.

The spelling of 336056032 in words is "three hundred thirty-six million, fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 179 208 358 416 716 1432 2327 2864 4513 4654 5728 9026 9308 18052 18616 36104 37232 58669 72208 74464 117338 144416 234676 469352 807827 938704 1615654 1877408 3231308 6462616 10501751 12925232 21003502 25850464 42007004 84014008 168028016 336056032