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65742340 = 22537731217
BaseRepresentation
bin1111101011001…
…0011000000100
311120201001112111
43322302120010
5113312223330
610305030404
71425541426
oct372623004
9146631474
1065742340
1134123214
121a025404
131080a8c1
148a34816
155b8932a
hex3eb2604

65742340 has 48 divisors (see below), whose sum is σ = 143850672. Its totient is φ = 25214976.

The previous prime is 65742329. The next prime is 65742353. The reversal of 65742340 is 4324756.

It can be written as a sum of positive squares in 8 ways, for example, as 746496 + 64995844 = 864^2 + 8062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53412 + ... + 54628.

It is an arithmetic number, because the mean of its divisors is an integer number (2996889).

Almost surely, 265742340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65742340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71925336).

65742340 is an abundant number, since it is smaller than the sum of its proper divisors (78108332).

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

65742340 is a wasteful number, since it uses less digits than its factorization.

65742340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 65742340 is about 8108.1650205210. The cubic root of 65742340 is about 403.5974243535.

The spelling of 65742340 in words is "sixty-five million, seven hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 1217 1460 2434 2701 4868 5402 6085 10804 12170 13505 24340 27010 45029 54020 88841 90058 177682 180116 225145 355364 444205 450290 888410 900580 1776820 3287117 6574234 13148468 16435585 32871170 65742340