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34244000 = 255371223
BaseRepresentation
bin1000001010100…
…0010110100000
32101102202221022
42002220112200
532231302000
63221545012
7564032510
oct202502640
971382838
1034244000
111836a02a
12b575168
13712c92b
144795840
153016585
hex20a85a0

34244000 has 96 divisors (see below), whose sum is σ = 96235776. Its totient is φ = 11731200.

The previous prime is 34243927. The next prime is 34244003. The reversal of 34244000 is 44243.

It is a self number, because there is not a number n which added to its sum of digits gives 34244000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27389 + ... + 28611.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 234244000 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 34244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888).

34244000 is an abundant number, since it is smaller than the sum of its proper divisors (61991776).

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

34244000 is a wasteful number, since it uses less digits than its factorization.

34244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 34244000 is about 5851.8373183129. The cubic root of 34244000 is about 324.7342996039.

Adding to 34244000 its reverse (44243), we get a palindrome (34288243).

The spelling of 34244000 in words is "thirty-four million, two hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1223 1400 1750 2000 2446 2800 3500 4000 4892 5600 6115 7000 8561 9784 12230 14000 17122 19568 24460 28000 30575 34244 39136 42805 48920 61150 68488 85610 97840 122300 136976 152875 171220 195680 214025 244600 273952 305750 342440 428050 489200 611500 684880 856100 978400 1070125 1223000 1369760 1712200 2140250 2446000 3424400 4280500 4892000 6848800 8561000 17122000 34244000