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34730720 = 2551311657
BaseRepresentation
bin1000010001111…
…1001011100000
32102100111120222
42010133023200
532342340340
63240222212
7601130513
oct204371340
972314528
1034730720
1118671782
12b76a968
13727032b
144880d7a
1530b08b5
hex211f2e0

34730720 has 48 divisors (see below), whose sum is σ = 82727568. Its totient is φ = 13777920.

The previous prime is 34730701. The next prime is 34730743. The reversal of 34730720 is 2703743.

It is a self number, because there is not a number n which added to its sum of digits gives 34730720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20132 + ... + 21788.

It is an arithmetic number, because the mean of its divisors is an integer number (1723491).

Almost surely, 234730720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41363784).

34730720 is an abundant number, since it is smaller than the sum of its proper divisors (47996848).

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

34730720 is a wasteful number, since it uses less digits than its factorization.

34730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 34730720 is about 5893.2775261309. The cubic root of 34730720 is about 326.2655820667.

The spelling of 34730720 in words is "thirty-four million, seven hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 1657 2096 2620 3314 4192 5240 6628 8285 10480 13256 16570 20960 26512 33140 53024 66280 132560 217067 265120 434134 868268 1085335 1736536 2170670 3473072 4341340 6946144 8682680 17365360 34730720