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34985980 = 2253173773
BaseRepresentation
bin1000010101110…
…1011111111100
32102211110202001
42011131133330
532424022410
63245512044
7603242641
oct205353774
972743661
1034985980
1118826537
12b872624
13732c583
144909dc8
15311133a
hex215d7fc

34985980 has 48 divisors (see below), whose sum is σ = 76978944. Its totient is φ = 13340160.

The previous prime is 34985959. The next prime is 34985987. The reversal of 34985980 is 8958943.

It is a self number, because there is not a number n which added to its sum of digits gives 34985980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34985987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44874 + ... + 45646.

It is an arithmetic number, because the mean of its divisors is an integer number (1603728).

Almost surely, 234985980 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 34985980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38489472).

34985980 is an abundant number, since it is smaller than the sum of its proper divisors (41992964).

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

34985980 is a wasteful number, since it uses less digits than its factorization.

34985980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 34985980 is about 5914.8947581508. The cubic root of 34985980 is about 327.0629486622.

The spelling of 34985980 in words is "thirty-four million, nine hundred eighty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 292 310 365 620 730 773 1460 1546 2263 3092 3865 4526 7730 9052 11315 15460 22630 23963 45260 47926 56429 95852 112858 119815 225716 239630 282145 479260 564290 1128580 1749299 3498598 6997196 8746495 17492990 34985980