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864940734 = 233731223331
BaseRepresentation
bin110011100011011…
…111001010111110
32020021112112122000
4303203133022332
53232411100414
6221454403130
730301606050
oct6343371276
92207475560
10864940734
11404266859
122018004a6
1310a26c968
1482c318d0
1550e03b09
hex338df2be

864940734 has 128 divisors (see below), whose sum is σ = 2284584960. Its totient is φ = 237362400.

The previous prime is 864940723. The next prime is 864940753. The reversal of 864940734 is 437049468.

It is a self number, because there is not a number n which added to its sum of digits gives 864940734.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2612949 + ... + 2613279.

It is an arithmetic number, because the mean of its divisors is an integer number (17848320).

Almost surely, 2864940734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864940734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142292480).

864940734 is an abundant number, since it is smaller than the sum of its proper divisors (1419644226).

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

864940734 is a wasteful number, since it uses less digits than its factorization.

864940734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 864940734 is about 29409.8747702196. The cubic root of 864940734 is about 952.7861822194.

The spelling of 864940734 in words is "eight hundred sixty-four million, nine hundred forty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 223 279 331 378 434 446 558 651 662 669 837 993 1302 1338 1561 1674 1953 1986 2007 2317 2979 3122 3906 4014 4634 4683 5859 5958 6021 6913 6951 8937 9366 10261 11718 12042 13826 13902 14049 17874 20522 20739 20853 28098 30783 41478 41706 42147 48391 61566 62217 62559 71827 73813 84294 92349 96782 124434 125118 143654 145173 147626 184698 186651 215481 221439 277047 290346 373302 430962 435519 442878 516691 554094 646443 664317 871038 1033382 1292886 1306557 1328634 1550073 1939329 1992951 2288203 2613114 3100146 3878658 3985902 4576406 4650219 6864609 9300438 13729218 13950657 16017421 20593827 27901314 32034842 41187654 48052263 61781481 96104526 123562962 144156789 288313578 432470367 864940734