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34799380 = 22571159383
BaseRepresentation
bin1000010010111…
…1111100010100
32102110222202221
42010233330110
532402040010
63241512124
7601534630
oct204577424
972428687
1034799380
1118709320
12b7a2644
137295665
14489bdc0
1530c5dda
hex212ff14

34799380 has 96 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 10634880.

The previous prime is 34799377. The next prime is 34799389. The reversal of 34799380 is 8399743.

34799380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34799389) 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 31 ways as a sum of consecutive naturals, for example, 90669 + ... + 91051.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 234799380 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 34799380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

34799380 is an abundant number, since it is smaller than the sum of its proper divisors (58097900).

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

34799380 is a wasteful number, since it uses less digits than its factorization.

34799380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 34799380 is about 5899.0999313455. The cubic root of 34799380 is about 326.4804413143.

The spelling of 34799380 in words is "thirty-four million, seven hundred ninety-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 383 385 413 590 649 766 770 826 1180 1298 1532 1540 1652 1915 2065 2596 2681 3245 3830 4130 4213 4543 5362 6490 7660 8260 8426 9086 10724 12980 13405 16852 18172 21065 22597 22715 26810 29491 42130 45194 45430 53620 58982 84260 90388 90860 112985 117964 147455 158179 225970 248567 294910 316358 451940 497134 589820 632716 790895 994268 1242835 1581790 1739969 2485670 3163580 3479938 4971340 6959876 8699845 17399690 34799380