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468792340 = 225171378801
BaseRepresentation
bin11011111100010…
…011010000010100
31012200010010012021
4123330103100110
51430002323330
6114303502524
714421445342
oct3374232024
91180103167
10468792340
11220691695
12110bb7a44
1376179523
1446390992
152b25167a
hex1bf13414

468792340 has 24 divisors (see below), whose sum is σ = 1042374312. Its totient is φ = 176486400.

The previous prime is 468792329. The next prime is 468792343. The reversal of 468792340 is 43297864.

468792340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104898564 + 363893776 = 10242^2 + 19076^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468792343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689061 + ... + 689740.

It is an arithmetic number, because the mean of its divisors is an integer number (43432263).

Almost surely, 2468792340 is an apocalyptic number.

It is an amenable number.

468792340 is an abundant number, since it is smaller than the sum of its proper divisors (573581972).

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

468792340 is a wasteful number, since it uses less digits than its factorization.

468792340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378827 (or 1378825 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 468792340 is about 21651.6128729478. The cubic root of 468792340 is about 776.8315142686.

The spelling of 468792340 in words is "four hundred sixty-eight million, seven hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1378801 2757602 5515204 6894005 13788010 23439617 27576020 46879234 93758468 117198085 234396170 468792340