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2334456680 = 235131445507
BaseRepresentation
bin1000101100100100…
…1111101101101000
320000200200200112112
42023021033231220
514240110103210
61023351301452
7111564361103
oct21311175550
96020620475
102334456680
11a98815946
1255197a888
132b284a81a
1418207b73a
15d9e2ad05
hex8b24fb68

2334456680 has 32 divisors (see below), whose sum is σ = 5292635040. Its totient is φ = 926652480.

The previous prime is 2334456667. The next prime is 2334456721. The reversal of 2334456680 is 866544332.

2334456680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217514 + ... + 227993.

It is an arithmetic number, because the mean of its divisors is an integer number (165394845).

Almost surely, 22334456680 is an apocalyptic number.

2334456680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334456680 is an abundant number, since it is smaller than the sum of its proper divisors (2958178360).

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

2334456680 is a wasteful number, since it uses less digits than its factorization.

2334456680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445649 (or 445645 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The square root of 2334456680 is about 48316.2154974911. The cubic root of 2334456680 is about 1326.5652189906.

The spelling of 2334456680 in words is "two billion, three hundred thirty-four million, four hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 445507 891014 1782028 2227535 3564056 4455070 8910140 17820280 58361417 116722834 233445668 291807085 466891336 583614170 1167228340 2334456680