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34228656 = 24347411
BaseRepresentation
bin1000001010010…
…0100110110000
32101101222220000
42002210212300
532230304111
63221350000
7563640000
oct202444660
971358800
1034228656
1118359550
12b568300
137125957
144790000
153011c56
hex20a49b0

34228656 has 250 divisors, whose sum is σ = 126078612. Its totient is φ = 8890560.

The previous prime is 34228639. The next prime is 34228679. The reversal of 34228656 is 65682243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34228656.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3111691 + ... + 3111701.

Almost surely, 234228656 is an apocalyptic number.

34228656 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 34228656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63039306).

34228656 is an abundant number, since it is smaller than the sum of its proper divisors (91849956).

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

34228656 is an equidigital number, since it uses as much as digits as its factorization.

34228656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 34228656 is about 5850.5261301869. The cubic root of 34228656 is about 324.6857902057.

The spelling of 34228656 in words is "thirty-four million, two hundred twenty-eight thousand, six hundred fifty-six".