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34063860 = 2235896379
BaseRepresentation
bin1000000111110…
…0010111110100
32101002121211110
42001330113310
532210020420
63214035020
7562352355
oct201742764
971077743
1034063860
1118256756
12b4a8a70
13709893c
144749d2c
152eccee0
hex207c5f4

34063860 has 48 divisors (see below), whose sum is σ = 96465600. Its totient is φ = 8980224.

The previous prime is 34063849. The next prime is 34063867. The reversal of 34063860 is 6836043.

34063860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34063867) 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, 2151 + ... + 8529.

It is an arithmetic number, because the mean of its divisors is an integer number (2009700).

Almost surely, 234063860 is an apocalyptic number.

34063860 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 34063860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48232800).

34063860 is an abundant number, since it is smaller than the sum of its proper divisors (62401740).

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

34063860 is a wasteful number, since it uses less digits than its factorization.

34063860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34063860 is about 5836.4252758002. The cubic root of 34063860 is about 324.1638783831.

The spelling of 34063860 in words is "thirty-four million, sixty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 6379 12758 19137 25516 31895 38274 63790 76548 95685 127580 191370 382740 567731 1135462 1703193 2270924 2838655 3406386 5677310 6812772 8515965 11354620 17031930 34063860