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34922040 = 23352331249
BaseRepresentation
bin1000010100110…
…1111000111000
32102201020000220
42011031320320
532420001130
63244300040
7602555346
oct205157070
972636026
1034922040
111879249a
12b841620
13730943a
1448d0996
1530ec410
hex214de38

34922040 has 64 divisors (see below), whose sum is σ = 105300000. Its totient is φ = 9265152.

The previous prime is 34922033. The next prime is 34922051. The reversal of 34922040 is 4022943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34922040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27336 + ... + 28584.

Almost surely, 234922040 is an apocalyptic number.

34922040 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 34922040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52650000).

34922040 is an abundant number, since it is smaller than the sum of its proper divisors (70377960).

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

34922040 is a wasteful number, since it uses less digits than its factorization.

34922040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34922040 is about 5909.4872874049. The cubic root of 34922040 is about 326.8635815857.

Adding to 34922040 its reverse (4022943), we get a palindrome (38944983).

The spelling of 34922040 in words is "thirty-four million, nine hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1249 1398 1864 2330 2498 2796 3495 3747 4660 4996 5592 6245 6990 7494 9320 9992 12490 13980 14988 18735 24980 27960 29976 37470 49960 74940 149880 291017 582034 873051 1164068 1455085 1746102 2328136 2910170 3492204 4365255 5820340 6984408 8730510 11640680 17461020 34922040