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34379620 = 2251131712
BaseRepresentation
bin1000001100100…
…1011101100100
32101200122222021
42003021131210
532300121440
63224512524
7565136062
oct203113544
971618867
1034379620
1118451a10
12b61b744
137179592
1447cd032
15304184a
hex20c9764

34379620 has 72 divisors (see below), whose sum is σ = 82462464. Its totient is φ = 11928000.

The previous prime is 34379617. The next prime is 34379621. The reversal of 34379620 is 2697343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34379621) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 484185 + ... + 484255.

It is an arithmetic number, because the mean of its divisors is an integer number (1145312).

Almost surely, 234379620 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 34379620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41231232).

34379620 is an abundant number, since it is smaller than the sum of its proper divisors (48082844).

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

34379620 is a wasteful number, since it uses less digits than its factorization.

34379620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 34379620 is about 5863.4136814658. The cubic root of 34379620 is about 325.1624276845.

The spelling of 34379620 in words is "thirty-four million, three hundred seventy-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 71 110 124 142 155 220 284 310 341 355 620 682 710 781 1364 1420 1562 1705 2201 3124 3410 3905 4402 5041 6820 7810 8804 10082 11005 15620 20164 22010 24211 25205 44020 48422 50410 55451 96844 100820 110902 121055 156271 221804 242110 277255 312542 484220 554510 625084 781355 1109020 1562710 1718981 3125420 3437962 6875924 8594905 17189810 34379620