Search a number
-
+
34365440 = 2135839
BaseRepresentation
bin1000001100011…
…0000000000000
32101122221112002
42003012000000
532244143230
63224323132
7565046534
oct203060000
971587462
1034365440
111844229a
12b6134a8
137172ca5
1447c7bc4
15303c545
hex20c6000

34365440 has 56 divisors (see below), whose sum is σ = 82570320. Its totient is φ = 13729792.

The previous prime is 34365389. The next prime is 34365467. The reversal of 34365440 is 4456343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40541 + ... + 41379.

It is an arithmetic number, because the mean of its divisors is an integer number (1474470).

Almost surely, 234365440 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 34365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41285160).

34365440 is an abundant number, since it is smaller than the sum of its proper divisors (48204880).

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

34365440 is an frugal number, since it uses more digits than its factorization.

34365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 34365440 is about 5862.2043635479. The cubic root of 34365440 is about 325.1177167261.

The spelling of 34365440 in words is "thirty-four million, three hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 839 1024 1280 1678 2048 2560 3356 4096 4195 5120 6712 8192 8390 10240 13424 16780 20480 26848 33560 40960 53696 67120 107392 134240 214784 268480 429568 536960 859136 1073920 1718272 2147840 3436544 4295680 6873088 8591360 17182720 34365440