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34382024 = 23172411049
BaseRepresentation
bin1000001100101…
…0000011001000
32101200210021022
42003022003020
532300211044
63224532012
7565146065
oct203120310
971623238
1034382024
11184537a6
12b621008
13717a6c1
1447cdc6c
1530423ee
hex20ca0c8

34382024 has 32 divisors (see below), whose sum is σ = 68607000. Its totient is φ = 16097280.

The previous prime is 34382017. The next prime is 34382053. The reversal of 34382024 is 42028343.

It can be written as a sum of positive squares in 4 ways, for example, as 33849124 + 532900 = 5818^2 + 730^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34381984 and 34382002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32252 + ... + 33300.

Almost surely, 234382024 is an apocalyptic number.

34382024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34382024 is a deficient number, since it is larger than the sum of its proper divisors (34224976).

34382024 is a wasteful number, since it uses less digits than its factorization.

34382024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 34382024 is about 5863.6186779155. The cubic root of 34382024 is about 325.1700065181.

It can be divided in two parts, 34 and 382024, that multiplied together give a square (12988816 = 36042).

The spelling of 34382024 in words is "thirty-four million, three hundred eighty-two thousand, twenty-four".

Divisors: 1 2 4 8 17 34 68 136 241 482 964 1049 1928 2098 4097 4196 8194 8392 16388 17833 32776 35666 71332 142664 252809 505618 1011236 2022472 4297753 8595506 17191012 34382024