Search a number
-
+
34469700 = 22352891291
BaseRepresentation
bin1000001101111…
…1011101000100
32101212020112120
42003133131010
532311012300
63230445540
7565662516
oct203373504
971766476
1034469700
1118503661
12b6638b0
1371ab595
144813bb6
15305d3a0
hex20df744

34469700 has 72 divisors (see below), whose sum is σ = 100931040. Its totient is φ = 9081600.

The previous prime is 34469657. The next prime is 34469717. The reversal of 34469700 is 796443.

34469700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26055 + ... + 27345.

It is an arithmetic number, because the mean of its divisors is an integer number (1401820).

Almost surely, 234469700 is an apocalyptic number.

34469700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34469700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520).

34469700 is an abundant number, since it is smaller than the sum of its proper divisors (66461340).

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

34469700 is a wasteful number, since it uses less digits than its factorization.

34469700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 34469700 is about 5871.0901883722. The cubic root of 34469700 is about 325.4461722076.

The spelling of 34469700 in words is "thirty-four million, four hundred sixty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1291 1335 1780 2225 2582 2670 3873 4450 5164 5340 6455 6675 7746 8900 12910 13350 15492 19365 25820 26700 32275 38730 64550 77460 96825 114899 129100 193650 229798 344697 387300 459596 574495 689394 1148990 1378788 1723485 2297980 2872475 3446970 5744950 6893940 8617425 11489900 17234850 34469700