Search a number
-
+
334470528 = 27327193759
BaseRepresentation
bin10011111011111…
…001110110000000
3212022100212022100
4103323321312000
51141111024103
653104510400
711200644510
oct2373716600
9768325270
10334470528
11161888727
129401b400
13543a9872
14325c7840
151e56c5a3
hex13ef9d80

334470528 has 384 divisors, whose sum is σ = 1209312000. Its totient is φ = 86593536.

The previous prime is 334470527. The next prime is 334470553. The reversal of 334470528 is 825074433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3344705282 = 223741068201197568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334470492 and 334470501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334470523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5668963 + ... + 5669021.

It is an arithmetic number, because the mean of its divisors is an integer number (3149250).

Almost surely, 2334470528 is an apocalyptic number.

334470528 is a gapful number since it is divisible by the number (38) 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 334470528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604656000).

334470528 is an abundant number, since it is smaller than the sum of its proper divisors (874841472).

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

334470528 is a wasteful number, since it uses less digits than its factorization.

334470528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 334470528 is about 18288.5354252329. The cubic root of 334470528 is about 694.1488661266.

The spelling of 334470528 in words is "three hundred thirty-four million, four hundred seventy thousand, five hundred twenty-eight".