Search a number
-
+
923034528 = 25351323397
BaseRepresentation
bin110111000001000…
…110001110100000
32101022212000100000
4313001012032200
53342244101103
6231331500000
731605443523
oct6701061640
92338760300
10923034528
11434035559
12219157600
131193000a0
148a834bba
155607baa3
hex370463a0

923034528 has 288 divisors, whose sum is σ = 3066650496. Its totient is φ = 270978048.

The previous prime is 923034487. The next prime is 923034547. The reversal of 923034528 is 825430329.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 923034492 and 923034501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324826 + ... + 2325222.

It is an arithmetic number, because the mean of its divisors is an integer number (10648092).

Almost surely, 2923034528 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 923034528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533325248).

923034528 is an abundant number, since it is smaller than the sum of its proper divisors (2143615968).

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

923034528 is a wasteful number, since it uses less digits than its factorization.

923034528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 923034528 is about 30381.4833080941. The cubic root of 923034528 is about 973.6569816717.

The spelling of 923034528 in words is "nine hundred twenty-three million, thirty-four thousand, five hundred twenty-eight".