Search a number
-
+
880348032 = 27321914001
BaseRepresentation
bin110100011110010…
…000101110000000
32021100112022110200
4310132100232000
53300332114112
6223204525200
730546556224
oct6436205600
92240468420
10880348032
11411a2a563
122069b0800
131105057c5
1484cc2784
1552448cdc
hex34790b80

880348032 has 96 divisors (see below), whose sum is σ = 2547192960. Its totient is φ = 291840000.

The previous prime is 880348031. The next prime is 880348037. The reversal of 880348032 is 230843088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880348031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218032 + ... + 222032.

It is an arithmetic number, because the mean of its divisors is an integer number (26533260).

Almost surely, 2880348032 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 880348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273596480).

880348032 is an abundant number, since it is smaller than the sum of its proper divisors (1666844928).

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

880348032 is a wasteful number, since it uses less digits than its factorization.

880348032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 880348032 is about 29670.6594466655. The cubic root of 880348032 is about 958.4102856283.

The spelling of 880348032 in words is "eight hundred eighty million, three hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 384 573 576 764 1146 1152 1528 1719 2292 3056 3438 4001 4584 6112 6876 8002 9168 12003 12224 13752 16004 18336 24006 24448 27504 32008 36009 36672 48012 55008 64016 72018 73344 96024 110016 128032 144036 192048 220032 256064 288072 384096 512128 576144 764191 768192 1152288 1528382 1536384 2292573 2304576 3056764 4585146 4609152 6113528 6877719 9170292 12227056 13755438 18340584 24454112 27510876 36681168 48908224 55021752 73362336 97816448 110043504 146724672 220087008 293449344 440174016 880348032