Search a number
-
+
397547040 = 2535111743103
BaseRepresentation
bin10111101100100…
…001011000100000
31000201001111000110
4113230201120200
51303233001130
6103240451320
712565044162
oct2754413040
91021044013
10397547040
1119444aa80
12b1179b40
1364492c47
143ab26932
1524d7bab0
hex17b21620

397547040 has 384 divisors, whose sum is σ = 1494484992. Its totient is φ = 87736320.

The previous prime is 397546987. The next prime is 397547063. The reversal of 397547040 is 40745793.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 397547040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3859629 + ... + 3859731.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2397547040 is an apocalyptic number.

397547040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747242496).

397547040 is an abundant number, since it is smaller than the sum of its proper divisors (1096937952).

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

397547040 is a wasteful number, since it uses less digits than its factorization.

397547040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 397547040 is about 19938.5816947946. The cubic root of 397547040 is about 735.2970801474.

It can be divided in two parts, 3975 and 47040, that added together give a palindrome (51015).

The spelling of 397547040 in words is "three hundred ninety-seven million, five hundred forty-seven thousand, forty".