Search a number
-
+
30346880 = 27547417
BaseRepresentation
bin111001111000…
…0111010000000
32010002210002112
41303300322000
530232100010
63002234452
7515641604
oct163607200
963083075
1030346880
1116148073
12a1b5a28
136396b45
14405d504
1529e6a05
hex1cf0e80

30346880 has 32 divisors (see below), whose sum is σ = 72549540. Its totient is φ = 12138496.

The previous prime is 30346879. The next prime is 30346957. The reversal of 30346880 is 8864303.

30346880 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 27962944 + 2383936 = 5288^2 + 1544^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23069 + ... + 24348.

Almost surely, 230346880 is an apocalyptic number.

It is an amenable number.

30346880 is an abundant number, since it is smaller than the sum of its proper divisors (42202660).

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

30346880 is an equidigital number, since it uses as much as digits as its factorization.

30346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47436 (or 47424 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 30346880 is about 5508.8002323555. The cubic root of 30346880 is about 311.9162606738.

The spelling of 30346880 in words is "thirty million, three hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 47417 94834 189668 237085 379336 474170 758672 948340 1517344 1896680 3034688 3793360 6069376 7586720 15173440 30346880