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400313601 = 32101440389
BaseRepresentation
bin10111110111000…
…100110100000001
31000220021001000200
4113313010310001
51304440013401
6103420035413
712630416022
oct2767046401
91026231020
10400313601
11195a6a596
12b2092b69
1364c2126c
143b246c49
1525226686
hex17dc4d01

400313601 has 12 divisors (see below), whose sum is σ = 583957140. Its totient is φ = 264232800.

The previous prime is 400313581. The next prime is 400313609. The reversal of 400313601 is 106313004.

It can be written as a sum of positive squares in 2 ways, for example, as 182898576 + 217415025 = 13524^2 + 14745^2 .

It is not a de Polignac number, because 400313601 - 215 = 400280833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400313609) 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, 219286 + ... + 221103.

It is an arithmetic number, because the mean of its divisors is an integer number (48663095).

Almost surely, 2400313601 is an apocalyptic number.

It is an amenable number.

400313601 is a deficient number, since it is larger than the sum of its proper divisors (183643539).

400313601 is a wasteful number, since it uses less digits than its factorization.

400313601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440496 (or 440493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 400313601 is about 20007.8384889523. The cubic root of 400313601 is about 736.9988020897.

Adding to 400313601 its reverse (106313004), we get a palindrome (506626605).

The spelling of 400313601 in words is "four hundred million, three hundred thirteen thousand, six hundred one".

Divisors: 1 3 9 101 303 909 440389 1321167 3963501 44479289 133437867 400313601