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34424136 = 2333315397
BaseRepresentation
bin1000001101010…
…0010101001000
32101202221001000
42003110111020
532303033021
63225455000
7565412625
oct203242510
971687030
1034424136
11184823aa
12b641460
137193916
14480134c
15304eb26
hex20d4548

34424136 has 128 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 10782720.

The previous prime is 34424129. The next prime is 34424141. The reversal of 34424136 is 63142443.

It is a super-2 number, since 2×344241362 = 2370042278692992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354840 + ... + 354936.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 234424136 is an apocalyptic number.

34424136 is a gapful number since it is divisible by the number (36) 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 34424136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

34424136 is an abundant number, since it is smaller than the sum of its proper divisors (67182264).

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

34424136 is a wasteful number, since it uses less digits than its factorization.

34424136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34424136 is about 5867.2085355815. The cubic root of 34424136 is about 325.3027112553.

Adding to 34424136 its reverse (63142443), we get a palindrome (97566579).

The spelling of 34424136 in words is "thirty-four million, four hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 93 97 106 108 124 159 186 194 212 216 248 279 291 318 372 388 424 477 558 582 636 744 776 837 873 954 1116 1164 1272 1431 1643 1674 1746 1908 2232 2328 2619 2862 3007 3286 3348 3492 3816 4929 5141 5238 5724 6014 6572 6696 6984 9021 9858 10282 10476 11448 12028 13144 14787 15423 18042 19716 20564 20952 24056 27063 29574 30846 36084 39432 41128 44361 46269 54126 59148 61692 72168 81189 88722 92538 108252 118296 123384 138807 159371 162378 177444 185076 216504 277614 318742 324756 354888 370152 478113 555228 637484 649512 956226 1110456 1274968 1434339 1912452 2868678 3824904 4303017 5737356 8606034 11474712 17212068 34424136