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4314336 = 253133457
BaseRepresentation
bin10000011101010011100000
322010012011020
4100131103200
52101024321
6232245440
751446145
oct20352340
98105136
104314336
112487474
121540880
13b80980
148043cc
155a34c6
hex41d4e0

4314336 has 48 divisors (see below), whose sum is σ = 12199824. Its totient is φ = 1327104.

The previous prime is 4314313. The next prime is 4314337. The reversal of 4314336 is 6334134.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×43143362 = 37226990241792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 24314336 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 4314336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099912).

4314336 is an abundant number, since it is smaller than the sum of its proper divisors (7885488).

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

4314336 is a wasteful number, since it uses less digits than its factorization.

4314336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3475 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 4314336 is about 2077.0979755418. The cubic root of 4314336 is about 162.7938478036.

The spelling of 4314336 in words is "four million, three hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3457 6914 10371 13828 20742 27656 41484 44941 55312 82968 89882 110624 134823 165936 179764 269646 331872 359528 539292 719056 1078584 1438112 2157168 4314336