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3414416724 = 223294844909
BaseRepresentation
bin1100101110000011…
…1101110101010100
322210221211100012200
43023200331311110
523443042313344
61322450444500
7150420030465
oct31340756524
98727740180
103414416724
1114a2392904
127b3593730
13425502b34
14245680d6c
1514eb54069
hexcb83dd54

3414416724 has 18 divisors (see below), whose sum is σ = 8630886810. Its totient is φ = 1138138896.

The previous prime is 3414416693. The next prime is 3414416729. The reversal of 3414416724 is 4276144143.

It can be written as a sum of positive squares in only one way, i.e., 2950445124 + 463971600 = 54318^2 + 21540^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 94844909 = 3414416724 / (3 + 4 + 1 + 4 + 4 + 1 + 6 + 7 + 2 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414416729) 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 5 ways as a sum of consecutive naturals, for example, 47422419 + ... + 47422490.

Almost surely, 23414416724 is an apocalyptic number.

It is an amenable number.

3414416724 is an abundant number, since it is smaller than the sum of its proper divisors (5216470086).

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

3414416724 is a wasteful number, since it uses less digits than its factorization.

3414416724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94844919 (or 94844914 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3414416724 is about 58433.0105676577. The cubic root of 3414416724 is about 1505.8169277418.

The spelling of 3414416724 in words is "three billion, four hundred fourteen million, four hundred sixteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 94844909 189689818 284534727 379379636 569069454 853604181 1138138908 1707208362 3414416724