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6834796320 = 2535112117679
BaseRepresentation
bin1100101110110001…
…01011011100100000
3122122022212121221110
412113120223130200
5102444201440240
63050113223320
7331241544612
oct62730533440
918568777843
106834796320
112998078700
1213a8b61b40
1384c012aa1
1448ba34db2
152a0084c80
hex19762b720

6834796320 has 144 divisors (see below), whose sum is σ = 23664977280. Its totient is φ = 1656906240.

The previous prime is 6834796303. The next prime is 6834796349. The reversal of 6834796320 is 236974386.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6834796320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760 + ... + 116919.

It is an arithmetic number, because the mean of its divisors is an integer number (164340120).

Almost surely, 26834796320 is an apocalyptic number.

6834796320 is a gapful number since it is divisible by the number (60) 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 6834796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832488640).

6834796320 is an abundant number, since it is smaller than the sum of its proper divisors (16830180960).

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

6834796320 is a wasteful number, since it uses less digits than its factorization.

6834796320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117719 (or 117700 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 6834796320 is about 82672.8269747684. The cubic root of 6834796320 is about 1897.7624925666.

The spelling of 6834796320 in words is "six billion, eight hundred thirty-four million, seven hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 117679 235358 353037 470716 588395 706074 941432 1176790 1294469 1412148 1765185 1882864 2353580 2588938 2824296 3530370 3765728 3883407 4707160 5177876 5648592 6472345 7060740 7766814 9414320 10355752 11297184 12944690 14121480 14239159 15533628 18828640 19417035 20711504 25889380 28242960 28478318 31067256 38834070 41423008 42717477 51778760 56485920 56956636 62134512 71195795 77668140 85434954 103557520 113913272 124269024 142391590 155336280 170869908 207115040 213587385 227826544 284783180 310672560 341739816 427174770 455653088 569566360 621345120 683479632 854349540 1139132720 1366959264 1708699080 2278265440 3417398160 6834796320