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34781820 = 2235661877
BaseRepresentation
bin1000010010101…
…1101001111100
32102110002200120
42010223221330
532401004240
63241254540
7601432503
oct204535174
972402616
1034781820
11186a7107
12b794450
13728a678
14489583a
1530c0ad0
hex212ba7c

34781820 has 48 divisors (see below), whose sum is σ = 97647648. Its totient is φ = 9250560.

The previous prime is 34781807. The next prime is 34781821. The reversal of 34781820 is 2818743.

34781820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34781821) 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 15 ways as a sum of consecutive naturals, for example, 39222 + ... + 40098.

It is an arithmetic number, because the mean of its divisors is an integer number (2034326).

Almost surely, 234781820 is an apocalyptic number.

34781820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34781820 is an abundant number, since it is smaller than the sum of its proper divisors (62865828).

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

34781820 is a wasteful number, since it uses less digits than its factorization.

34781820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 34781820 is about 5897.6113808897. The cubic root of 34781820 is about 326.4255173366.

The spelling of 34781820 in words is "thirty-four million, seven hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 661 877 1322 1754 1983 2631 2644 3305 3508 3966 4385 5262 6610 7932 8770 9915 10524 13155 13220 17540 19830 26310 39660 52620 579697 1159394 1739091 2318788 2898485 3478182 5796970 6956364 8695455 11593940 17390910 34781820