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34128336 = 24311109593
BaseRepresentation
bin1000001000110…
…0000111010000
32101012220021110
42002030013100
532214101321
63215253320
7563041344
oct202140720
971186243
1034128336
11182a0140
12b51a240
1370bc0a8
144765624
152ee2176
hex208c1d0

34128336 has 80 divisors (see below), whose sum is σ = 97225920. Its totient is φ = 10229760.

The previous prime is 34128323. The next prime is 34128371. The reversal of 34128336 is 63382143.

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 15 ways as a sum of consecutive naturals, for example, 57256 + ... + 57848.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 234128336 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 34128336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48612960).

34128336 is an abundant number, since it is smaller than the sum of its proper divisors (63097584).

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

34128336 is a wasteful number, since it uses less digits than its factorization.

34128336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34128336 is about 5841.9462510365. The cubic root of 34128336 is about 324.3682750378.

The spelling of 34128336 in words is "thirty-four million, one hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 436 528 593 654 872 1186 1199 1308 1744 1779 2372 2398 2616 3558 3597 4744 4796 5232 6523 7116 7194 9488 9592 13046 14232 14388 19184 19569 26092 28464 28776 39138 52184 57552 64637 78276 104368 129274 156552 193911 258548 313104 387822 517096 711007 775644 1034192 1422014 1551288 2133021 2844028 3102576 4266042 5688056 8532084 11376112 17064168 34128336