Search a number
-
+
712366368 = 253717127491
BaseRepresentation
bin101010011101011…
…101100100100000
31211122102221221120
4222131131210200
52424331210433
6154404252240
723440004610
oct5235354440
91748387846
10712366368
1133612643a
1217a6a1080
13b477c07c
146a876a40
15428167b3
hex2a75d920

712366368 has 192 divisors, whose sum is σ = 2285273088. Its totient is φ = 189665280.

The previous prime is 712366367. The next prime is 712366379. The reversal of 712366368 is 863663217.

It is a super-2 number, since 2×7123663682 = 1014931684515022848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (712366367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450603 + ... + 1451093.

It is an arithmetic number, because the mean of its divisors is an integer number (11902464).

Almost surely, 2712366368 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 712366368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142636544).

712366368 is an abundant number, since it is smaller than the sum of its proper divisors (1572906720).

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

712366368 is a wasteful number, since it uses less digits than its factorization.

712366368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 712366368 is about 26690.1923559947. The cubic root of 712366368 is about 893.1021520053.

The spelling of 712366368 in words is "seven hundred twelve million, three hundred sixty-six thousand, three hundred sixty-eight".