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3418390089 = 32194892
BaseRepresentation
bin1100101111000000…
…0111111001001001
322211020022012122100
43023300013321021
524000101440324
61323111544013
7150465556602
oct31360077111
98736265570
103418390089
1114a4657084
127b498b009
1342629453a
14245dd6da9
1515018b4c9
hexcbc07e49

3418390089 has 9 divisors (see below), whose sum is σ = 4937927943. Its totient is φ = 2278809792.

The previous prime is 3418390067. The next prime is 3418390117. The reversal of 3418390089 is 9800938143.

The square root of 3418390089 is 58467.

It is a perfect power (a square), and thus also a powerful number.

3418390089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59028489 + 3359361600 = 7683^2 + 57960^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3418390089 - 217 = 3418259017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3418390189) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165657 + ... + 185145.

Almost surely, 23418390089 is an apocalyptic number.

3418390089 is the 58467-th square number.

3418390089 is the 29234-th centered octagonal number.

It is an amenable number.

3418390089 is a deficient number, since it is larger than the sum of its proper divisors (1519537854).

3418390089 is an frugal number, since it uses more digits than its factorization.

3418390089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38984 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 3418390089 is about 1506.4008089126.

Multiplying 3418390089 by its product of nonzero digits (186624), we get a square (637953631969536 = 252577442).

The spelling of 3418390089 in words is "three billion, four hundred eighteen million, three hundred ninety thousand, eighty-nine".

Divisors: 1 3 9 19489 58467 175401 379821121 1139463363 3418390089