Search a number
-
+
968350320 = 243257192133
BaseRepresentation
bin111001101101111…
…101101001110000
32111111010021220200
4321231331221300
53440344202240
6240031035200
732665561530
oct7155755160
92444107820
10968350320
11457676a23
1223036bb00
13125808372
149286d4c0
155a02d930
hex39b7da70

968350320 has 120 divisors (see below), whose sum is σ = 3716640096. Its totient is φ = 221336064.

The previous prime is 968350309. The next prime is 968350343. The reversal of 968350320 is 23053869.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 91027 + ... + 101106.

Almost surely, 2968350320 is an apocalyptic number.

968350320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968350320 is an abundant number, since it is smaller than the sum of its proper divisors (2748289776).

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

968350320 is a wasteful number, since it uses less digits than its factorization.

968350320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192159 (or 192150 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 968350320 is about 31118.3277185648. The cubic root of 968350320 is about 989.3368071326.

The spelling of 968350320 in words is "nine hundred sixty-eight million, three hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 192133 384266 576399 768532 960665 1152798 1344931 1537064 1729197 1921330 2305596 2689862 2881995 3074128 3458394 3842660 4034793 4611192 5379724 5763990 6724655 6916788 7685320 8069586 8645985 9222384 10759448 11527980 12104379 13449310 13833576 15370640 16139172 17291970 20173965 21518896 23055960 24208758 26898620 27667152 32278344 34583940 40347930 46111920 48417516 53797240 60521895 64556688 69167880 80695860 96835032 107594480 121043790 138335760 161391720 193670064 242087580 322783440 484175160 968350320