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34133640 = 2335284447
BaseRepresentation
bin1000001000110…
…1011010001000
32101020011112220
42002031122020
532214234030
63215334040
7563062662
oct202153210
971204486
1034133640
11182a4122
12b521320
1370c1628
144767532
152ee3a10
hex208d688

34133640 has 32 divisors (see below), whose sum is σ = 102401280. Its totient is φ = 9102272.

The previous prime is 34133639. The next prime is 34133651. The reversal of 34133640 is 4633143.

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 34133640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142104 + ... + 142343.

It is an arithmetic number, because the mean of its divisors is an integer number (3200040).

Almost surely, 234133640 is an apocalyptic number.

34133640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34133640 is an abundant number, since it is smaller than the sum of its proper divisors (68267640).

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

34133640 is a wasteful number, since it uses less digits than its factorization.

34133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284461 (or 284457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34133640 is about 5842.4001917020. The cubic root of 34133640 is about 324.3850778905.

Adding to 34133640 its reverse (4633143), we get a palindrome (38766783).

The spelling of 34133640 in words is "thirty-four million, one hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 284447 568894 853341 1137788 1422235 1706682 2275576 2844470 3413364 4266705 5688940 6826728 8533410 11377880 17066820 34133640