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417377140 = 22520868857
BaseRepresentation
bin11000111000001…
…010101101110100
31002002100221210121
4120320022231310
51323322032030
6105225501324
713225434655
oct3070125564
91062327717
10417377140
111a4664694
12b7941844
1368616c2b
143d60952c
152699747a
hex18e0ab74

417377140 has 12 divisors (see below), whose sum is σ = 876492036. Its totient is φ = 166950848.

The previous prime is 417377117. The next prime is 417377143. The reversal of 417377140 is 41773714.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93161104 + 324216036 = 9652^2 + 18006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 417377096 and 417377105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417377143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10434409 + ... + 10434448.

It is an arithmetic number, because the mean of its divisors is an integer number (73041003).

Almost surely, 2417377140 is an apocalyptic number.

It is an amenable number.

417377140 is an abundant number, since it is smaller than the sum of its proper divisors (459114896).

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

417377140 is a wasteful number, since it uses less digits than its factorization.

417377140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20868866 (or 20868864 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 417377140 is about 20429.8100823282. The cubic root of 417377140 is about 747.3250725074.

The spelling of 417377140 in words is "four hundred seventeen million, three hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 20868857 41737714 83475428 104344285 208688570 417377140