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424301331 = 31973107953
BaseRepresentation
bin11001010010100…
…101001100010011
31002120101202000010
4121102211030103
51332110120311
6110034130003
713341334056
oct3122451423
91076352003
10424301331
111a8563963
12ba120903
1369b9c79c
14404cca9d
15273b3da6
hex194a5313

424301331 has 32 divisors (see below), whose sum is σ = 609949440. Its totient is φ = 261563904.

The previous prime is 424301329. The next prime is 424301341. The reversal of 424301331 is 133103424.

It is not a de Polignac number, because 424301331 - 21 = 424301329 is a prime.

It is a super-2 number, since 2×4243013312 = 360063238976743122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424301298 and 424301307.

It is not an unprimeable number, because it can be changed into a prime (424301341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444751 + ... + 445703.

It is an arithmetic number, because the mean of its divisors is an integer number (19060920).

Almost surely, 2424301331 is an apocalyptic number.

424301331 is a deficient number, since it is larger than the sum of its proper divisors (185648109).

424301331 is a wasteful number, since it uses less digits than its factorization.

424301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 424301331 is about 20598.5759459240. The cubic root of 424301331 is about 751.4350780942.

Adding to 424301331 its reverse (133103424), we get a palindrome (557404755).

The spelling of 424301331 in words is "four hundred twenty-four million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 19 57 73 107 219 321 953 1387 2033 2859 4161 6099 7811 18107 23433 54321 69569 101971 148409 208707 305913 445227 1321811 1937449 3965433 5812347 7443883 22331649 141433777 424301331