Search a number
-
+
34356150 = 2345217499
BaseRepresentation
bin1000001100001…
…1101110110110
32101122110210000
42003003232312
532243344100
63224212130
7565010463
oct203035666
971573700
1034356150
1118436314
12b60a046
13716b9aa
1447c466a
153039900
hex20c3bb6

34356150 has 120 divisors (see below), whose sum is σ = 101277000. Its totient is φ = 8605440.

The previous prime is 34356149. The next prime is 34356151. The reversal of 34356150 is 5165343.

34356150 is a `hidden beast` number, since 3 + 43 + 5 + 615 + 0 = 666.

34356150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34356149) and next prime (34356151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356151) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 68601 + ... + 69099.

It is an arithmetic number, because the mean of its divisors is an integer number (843975).

Almost surely, 234356150 is an apocalyptic number.

34356150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34356150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50638500).

34356150 is an abundant number, since it is smaller than the sum of its proper divisors (66920850).

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

34356150 is a wasteful number, since it uses less digits than its factorization.

34356150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 34356150 is about 5861.4119459393. The cubic root of 34356150 is about 325.0884177580.

The spelling of 34356150 in words is "thirty-four million, three hundred fifty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 255 270 306 405 425 450 459 499 510 675 765 810 850 918 998 1275 1350 1377 1497 1530 2025 2295 2495 2550 2754 2994 3825 4050 4491 4590 4990 6885 7485 7650 8483 8982 11475 12475 13473 13770 14970 16966 22455 22950 24950 25449 26946 34425 37425 40419 42415 44910 50898 67365 68850 74850 76347 80838 84830 112275 127245 134730 152694 202095 212075 224550 229041 254490 336825 381735 404190 424150 458082 636225 673650 687123 763470 1010475 1145205 1272450 1374246 1908675 2020950 2290410 3435615 3817350 5726025 6871230 11452050 17178075 34356150