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34765740 = 2233564381
BaseRepresentation
bin1000010010011…
…1101110101100
32102102021122000
42010213232230
532400000430
63241052300
7601334562
oct204475654
972367560
1034765740
1118696019
12b787090
137283259
14488da32
1530bae60
hex2127bac

34765740 has 48 divisors (see below), whose sum is σ = 108161760. Its totient is φ = 9270720.

The previous prime is 34765729. The next prime is 34765741. The reversal of 34765740 is 4756743.

34765740 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 34765695 and 34765704.

It is not an unprimeable number, because it can be changed into a prime (34765741) 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, 31651 + ... + 32730.

It is an arithmetic number, because the mean of its divisors is an integer number (2253370).

Almost surely, 234765740 is an apocalyptic number.

34765740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34765740 is an abundant number, since it is smaller than the sum of its proper divisors (73396020).

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

34765740 is a wasteful number, since it uses less digits than its factorization.

34765740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64399 (or 64391 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 34765740 is about 5896.2479595078. The cubic root of 34765740 is about 326.3752062698.

It can be divided in two parts, 3476 and 5740, that added together give a square (9216 = 962).

The spelling of 34765740 in words is "thirty-four million, seven hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 64381 128762 193143 257524 321905 386286 579429 643810 772572 965715 1158858 1287620 1738287 1931430 2317716 2897145 3476574 3862860 5794290 6953148 8691435 11588580 17382870 34765740