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120368340 = 22325668713
BaseRepresentation
bin1110010110010…
…10110011010100
322101111100022200
413023022303110
5221303241330
615535524500
72661054051
oct713126324
9271440280
10120368340
1161a43574
1234389730
131bc25791
1411db4028
15a879a60
hex72cacd4

120368340 has 36 divisors (see below), whose sum is σ = 365117844. Its totient is φ = 32098176.

The previous prime is 120368323. The next prime is 120368341. The reversal of 120368340 is 43863021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 35212356 = 9228^2 + 5934^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120368341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334177 + ... + 334536.

Almost surely, 2120368340 is an apocalyptic number.

120368340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120368340 is an abundant number, since it is smaller than the sum of its proper divisors (244749504).

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

120368340 is a wasteful number, since it uses less digits than its factorization.

120368340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668728 (or 668723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 120368340 is about 10971.2506123960. The cubic root of 120368340 is about 493.7465685816.

The spelling of 120368340 in words is "one hundred twenty million, three hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 668713 1337426 2006139 2674852 3343565 4012278 6018417 6687130 8024556 10030695 12036834 13374260 20061390 24073668 30092085 40122780 60184170 120368340