Search a number
-
+
400301320 = 23510007533
BaseRepresentation
bin10111110111000…
…001110100001000
31000220020102011211
4113313001310020
51304434120240
6103415502504
712630335146
oct2767016410
91026212154
10400301320
11195a61341
12b2087a34
1364c187b3
143b242596
1525222bea
hex17dc1d08

400301320 has 16 divisors (see below), whose sum is σ = 900678060. Its totient is φ = 160120512.

The previous prime is 400301311. The next prime is 400301323. The reversal of 400301320 is 23103004.

It can be written as a sum of positive squares in 2 ways, for example, as 387066276 + 13235044 = 19674^2 + 3638^2 .

It is a super-2 number, since 2×4003013202 = 320482293587484800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400301320.

It is not an unprimeable number, because it can be changed into a prime (400301323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5003727 + ... + 5003806.

Almost surely, 2400301320 is an apocalyptic number.

400301320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400301320 is an abundant number, since it is smaller than the sum of its proper divisors (500376740).

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

400301320 is a wasteful number, since it uses less digits than its factorization.

400301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10007544 (or 10007540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 400301320 is about 20007.5315818819. The cubic root of 400301320 is about 736.9912653528.

Adding to 400301320 its reverse (23103004), we get a palindrome (423404324).

The spelling of 400301320 in words is "four hundred million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 10007533 20015066 40030132 50037665 80060264 100075330 200150660 400301320