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34058064 = 2432943569
BaseRepresentation
bin1000000111101…
…0111101010000
32101002022212210
42001322331100
532204324224
63213552120
7562326435
oct201727520
971068783
1034058064
1118252367
12b4a5640
137096101
144747b8c
152ecb429
hex207af50

34058064 has 80 divisors (see below), whose sum is σ = 93297600. Its totient is φ = 10687488.

The previous prime is 34058053. The next prime is 34058071. The reversal of 34058064 is 46085043.

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, 59572 + ... + 60140.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 234058064 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 34058064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46648800).

34058064 is an abundant number, since it is smaller than the sum of its proper divisors (59239536).

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

34058064 is a wasteful number, since it uses less digits than its factorization.

34058064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 34058064 is about 5835.9287178649. The cubic root of 34058064 is about 324.1454917371.

The spelling of 34058064 in words is "thirty-four million, fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 569 688 696 1032 1138 1247 1392 1707 2064 2276 2494 3414 3741 4552 4988 6828 7482 9104 9976 13656 14964 16501 19952 24467 27312 29928 33002 48934 49503 59856 66004 73401 97868 99006 132008 146802 195736 198012 264016 293604 391472 396024 587208 709543 792048 1174416 1419086 2128629 2838172 4257258 5676344 8514516 11352688 17029032 34058064