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3418623961 = 5929912
BaseRepresentation
bin1100101111000100…
…0000111111011001
322211020202002110021
43023301000333121
524000131431321
61323120550441
7150500552464
oct31361007731
98736662407
103418623961
1114a47a6865
127b4a82421
13426346b1c
142460582db
151501d5941
hexcbc40fd9

3418623961 has 9 divisors (see below), whose sum is σ = 3481061493. Its totient is φ = 3357289980.

The previous prime is 3418623953. The next prime is 3418623977. The reversal of 3418623961 is 1693268143.

The square root of 3418623961 is 58469.

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

It is not a de Polignac number, because 3418623961 - 23 = 3418623953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3418629961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3449176 + ... + 3450166.

Almost surely, 23418623961 is an apocalyptic number.

3418623961 is the 58469-th square number.

3418623961 is the 29235-th centered octagonal number.

It is an amenable number.

3418623961 is a deficient number, since it is larger than the sum of its proper divisors (62437532).

3418623961 is an frugal number, since it uses more digits than its factorization.

3418623961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1050 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The cubic root of 3418623961 is about 1506.4351620171.

Multiplying 3418623961 by its product of digits (186624), we get a square (637997278097664 = 252586082).

The spelling of 3418623961 in words is "three billion, four hundred eighteen million, six hundred twenty-three thousand, nine hundred sixty-one".

Divisors: 1 59 991 3481 58469 982081 3449671 57942779 3418623961