Search a number
-
+
613006336 = 210472271
BaseRepresentation
bin100100100010011…
…011110000000000
31120201110221121101
4210202123300000
52223412200321
6140454504144
721122316325
oct4442336000
91521427541
10613006336
11295031808
12151365054
139a000957
145b5b0b4c
1538c3b791
hex2489bc00

613006336 has 66 divisors (see below), whose sum is σ = 1256661488. Its totient is φ = 298874880.

The previous prime is 613006333. The next prime is 613006351. The reversal of 613006336 is 633600316.

It is a super-2 number, since 2×6130063362 = 751553535952289792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613006333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2261881 + ... + 2262151.

Almost surely, 2613006336 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 613006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628330744).

613006336 is an abundant number, since it is smaller than the sum of its proper divisors (643655152).

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

613006336 is an equidigital number, since it uses as much as digits as its factorization.

613006336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 613006336 is about 24758.9647602641. The cubic root of 613006336 is about 849.4835783506.

The spelling of 613006336 in words is "six hundred thirteen million, six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 271 376 512 542 752 1024 1084 1504 2168 2209 3008 4336 4418 6016 8672 8836 12032 12737 17344 17672 24064 25474 34688 35344 48128 50948 69376 70688 101896 138752 141376 203792 277504 282752 407584 565504 598639 815168 1131008 1197278 1630336 2262016 2394556 3260672 4789112 6521344 9578224 13042688 19156448 38312896 76625792 153251584 306503168 613006336