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34066240 = 2651319431
BaseRepresentation
bin1000000111110…
…0111101000000
32101002202002121
42001330331000
532210104430
63214054024
7562362325
oct201747500
971082077
1034066240
111825851a
12b4aa314
137099a50
14474ab4c
152ecda7a
hex207cf40

34066240 has 112 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 11888640.

The previous prime is 34066199. The next prime is 34066247. The reversal of 34066240 is 4266043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78825 + ... + 79255.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 234066240 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 34066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

34066240 is an abundant number, since it is smaller than the sum of its proper divisors (58105280).

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

34066240 is a wasteful number, since it uses less digits than its factorization.

34066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 34066240 is about 5836.6291641666. The cubic root of 34066240 is about 324.1714278511.

The spelling of 34066240 in words is "thirty-four million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 431 494 520 608 760 832 862 988 1040 1216 1235 1520 1724 1976 2080 2155 2470 3040 3448 3952 4160 4310 4940 5603 6080 6896 7904 8189 8620 9880 11206 13792 15808 16378 17240 19760 22412 27584 28015 32756 34480 39520 40945 44824 56030 65512 68960 79040 81890 89648 106457 112060 131024 137920 163780 179296 212914 224120 262048 327560 358592 425828 448240 524096 532285 655120 851656 896480 1064570 1310240 1703312 1792960 2129140 2620480 3406624 4258280 6813248 8516560 17033120 34066240