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34365980 = 22511315039
BaseRepresentation
bin1000001100011…
…0001000011100
32101122222021002
42003012020130
532244202410
63224325432
7565051235
oct203061034
971588232
1034365980
1118442740
12b613878
1371732cc
1447c808c
15303c7a5
hex20c621c

34365980 has 48 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 12091200.

The previous prime is 34365973. The next prime is 34365983. The reversal of 34365980 is 8956343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34365983) 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, 4301 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 234365980 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 34365980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

34365980 is an abundant number, since it is smaller than the sum of its proper divisors (46919140).

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

34365980 is a wasteful number, since it uses less digits than its factorization.

34365980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 34365980 is about 5862.2504211267. The cubic root of 34365980 is about 325.1194196253.

The spelling of 34365980 in words is "thirty-four million, three hundred sixty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 5039 6820 10078 20156 25195 50390 55429 100780 110858 156209 221716 277145 312418 554290 624836 781045 1108580 1562090 1718299 3124180 3436598 6873196 8591495 17182990 34365980