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34552440 = 233351323107
BaseRepresentation
bin1000001111001…
…1101001111000
32102000110001000
42003303221320
532321134230
63232325000
7566455656
oct203635170
972013030
1034552440
111855a83a
12b6a3760
13720a140
144835dd6
153077b60
hex20f3a78

34552440 has 256 divisors, whose sum is σ = 130636800. Its totient is φ = 8059392.

The previous prime is 34552391. The next prime is 34552451. The reversal of 34552440 is 4425543.

34552440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×345524402 = 2387742219907200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 322867 + ... + 322973.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 234552440 is an apocalyptic number.

34552440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

34552440 is an abundant number, since it is smaller than the sum of its proper divisors (96084360).

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

34552440 is a wasteful number, since it uses less digits than its factorization.

34552440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 34552440 is about 5878.1323564547. The cubic root of 34552440 is about 325.7063611052.

Adding to 34552440 its reverse (4425543), we get a palindrome (38977983).

The spelling of 34552440 in words is "thirty-four million, five hundred fifty-two thousand, four hundred forty".