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34325640 = 2333537859
BaseRepresentation
bin1000001011110…
…0010010001000
32101120220221000
42002330102020
532241410030
63223415000
7564522516
oct202742210
971526830
1034325640
11184153a8
12b5b4460
13715ab3b
1447b74b6
153030860
hex20bc488

34325640 has 128 divisors (see below), whose sum is σ = 117648000. Its totient is φ = 8895744.

The previous prime is 34325639. The next prime is 34325659. The reversal of 34325640 is 4652343.

It is a super-2 number, since 2×343256402 = 2356499122819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 39531 + ... + 40389.

It is an arithmetic number, because the mean of its divisors is an integer number (919125).

Almost surely, 234325640 is an apocalyptic number.

34325640 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 34325640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58824000).

34325640 is an abundant number, since it is smaller than the sum of its proper divisors (83322360).

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

34325640 is a wasteful number, since it uses less digits than its factorization.

34325640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34325640 is about 5858.8087526391. The cubic root of 34325640 is about 324.9921576017.

Adding to 34325640 its reverse (4652343), we get a palindrome (38977983).

The spelling of 34325640 in words is "thirty-four million, three hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 859 888 999 1080 1110 1332 1480 1665 1718 1998 2220 2577 2664 3330 3436 3996 4295 4440 4995 5154 6660 6872 7731 7992 8590 9990 10308 12885 13320 15462 17180 19980 20616 23193 25770 30924 31783 34360 38655 39960 46386 51540 61848 63566 77310 92772 95349 103080 115965 127132 154620 158915 185544 190698 231930 254264 286047 309240 317830 381396 463860 476745 572094 635660 762792 858141 927720 953490 1144188 1271320 1430235 1716282 1906980 2288376 2860470 3432564 3813960 4290705 5720940 6865128 8581410 11441880 17162820 34325640