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34379380 = 2257235081
BaseRepresentation
bin1000001100100…
…1011001110100
32101200122122101
42003021121310
532300120010
63224511444
7565135300
oct203113164
971618571
1034379380
1118451812
12b61b584
137179439
1447ccd00
15304173a
hex20c9674

34379380 has 36 divisors (see below), whose sum is σ = 83986308. Its totient is φ = 11786880.

The previous prime is 34379357. The next prime is 34379381. The reversal of 34379380 is 8397343.

34379380 = T1160 + T1161 + ... + T1208.

It can be written as a sum of positive squares in 2 ways, for example, as 21734244 + 12645136 = 4662^2 + 3556^2 .

It is a super-3 number, since 3×343793803 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34379381) 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 11 ways as a sum of consecutive naturals, for example, 16561 + ... + 18520.

It is an arithmetic number, because the mean of its divisors is an integer number (2332953).

Almost surely, 234379380 is an apocalyptic number.

It is an amenable number.

34379380 is an abundant number, since it is smaller than the sum of its proper divisors (49606928).

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

34379380 is a wasteful number, since it uses less digits than its factorization.

34379380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35104 (or 35095 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 34379380 is about 5863.3932155365. The cubic root of 34379380 is about 325.1616710428.

The spelling of 34379380 in words is "thirty-four million, three hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 35081 70162 140324 175405 245567 350810 491134 701620 982268 1227835 1718969 2455670 3437938 4911340 6875876 8594845 17189690 34379380