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34243320 = 23351923653
BaseRepresentation
bin1000001010100…
…0001011111000
32101102202000010
42002220023320
532231241240
63221541520
7564030516
oct202501370
971382003
1034243320
1118369571
12b5748a0
13712c527
1447954b6
153016280
hex20a82f8

34243320 has 128 divisors (see below), whose sum is σ = 113011200. Its totient is φ = 8262144.

The previous prime is 34243271. The next prime is 34243333. The reversal of 34243320 is 2334243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52114 + ... + 52766.

It is an arithmetic number, because the mean of its divisors is an integer number (882900).

Almost surely, 234243320 is an apocalyptic number.

34243320 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 34243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56505600).

34243320 is an abundant number, since it is smaller than the sum of its proper divisors (78767880).

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

34243320 is a wasteful number, since it uses less digits than its factorization.

34243320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34243320 is about 5851.7792166144. The cubic root of 34243320 is about 324.7321501199.

Adding to 34243320 its reverse (2334243), we get a palindrome (36577563).

The spelling of 34243320 in words is "thirty-four million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 653 690 760 874 920 1140 1306 1311 1380 1748 1959 2185 2280 2612 2622 2760 3265 3496 3918 4370 5224 5244 6530 6555 7836 8740 9795 10488 12407 13060 13110 15019 15672 17480 19590 24814 26120 26220 30038 37221 39180 45057 49628 52440 60076 62035 74442 75095 78360 90114 99256 120152 124070 148884 150190 180228 186105 225285 248140 285361 297768 300380 360456 372210 450570 496280 570722 600760 744420 856083 901140 1141444 1426805 1488840 1712166 1802280 2282888 2853610 3424332 4280415 5707220 6848664 8560830 11414440 17121660 34243320