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3780468417 = 311311368359
BaseRepresentation
bin1110000101010101…
…0101111011000001
3100202110121200201210
43201111111323001
530220244442132
61423044320333
7162453310545
oct34125257301
910673550653
103780468417
11166aa80970
128960a30a9
134832b927b
1427c129a25
15171d5dbcc
hexe1555ec1

3780468417 has 16 divisors (see below), whose sum is σ = 5516559360. Its totient is φ = 2283819600.

The previous prime is 3780468413. The next prime is 3780468463. The reversal of 3780468417 is 7148640873.

3780468417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3780468417 - 22 = 3780468413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3780468413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173917 + ... + 194442.

It is an arithmetic number, because the mean of its divisors is an integer number (344784960).

Almost surely, 23780468417 is an apocalyptic number.

It is an amenable number.

3780468417 is a deficient number, since it is larger than the sum of its proper divisors (1736090943).

3780468417 is a wasteful number, since it uses less digits than its factorization.

3780468417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368684.

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3780468417 is about 61485.5138792870. The cubic root of 3780468417 is about 1557.8125732021.

The spelling of 3780468417 in words is "three billion, seven hundred eighty million, four hundred sixty-eight thousand, four hundred seventeen".

Divisors: 1 3 11 33 311 933 3421 10263 368359 1105077 4051949 12155847 114559649 343678947 1260156139 3780468417