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3413131224 = 233142213801
BaseRepresentation
bin1100101101110000…
…0011111111011000
322210212102000211120
43023130003333120
523442230144344
61322403125240
7150403064616
oct31334037730
98725360746
103413131224
1114a1695008
127b3073820
13425172999
142454286b6
1514e99d219
hexcb703fd8

3413131224 has 16 divisors (see below), whose sum is σ = 8532828120. Its totient is φ = 1137710400.

The previous prime is 3413131199. The next prime is 3413131237. The reversal of 3413131224 is 4221313143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 142213801 = 3413131224 / (3 + 4 + 1 + 3 + 1 + 3 + 1 + 2 + 2 + 4).

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

It is a junction number, because it is equal to n+sod(n) for n = 3413131194 and 3413131203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71106877 + ... + 71106924.

Almost surely, 23413131224 is an apocalyptic number.

It is an amenable number.

3413131224 is an abundant number, since it is smaller than the sum of its proper divisors (5119696896).

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

3413131224 is a wasteful number, since it uses less digits than its factorization.

3413131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142213810 (or 142213806 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3413131224 is about 58422.0097565977. The cubic root of 3413131224 is about 1505.6279280974.

Adding to 3413131224 its reverse (4221313143), we get a palindrome (7634444367).

The spelling of 3413131224 in words is "three billion, four hundred thirteen million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 142213801 284427602 426641403 568855204 853282806 1137710408 1706565612 3413131224