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8416244340 = 22325713150989
BaseRepresentation
bin1111101011010010…
…11011001001110100
3210201112122111210100
413311221123021310
5114214024304330
63511045154100
7415363616340
oct76551331164
923645574710
108416244340
113629828a39
12176a6bb930
13a4185154a
1459ba9a620
15343d1c060
hex1f5a5b274

8416244340 has 144 divisors (see below), whose sum is σ = 29399610240. Its totient is φ = 1908990720.

The previous prime is 8416244311. The next prime is 8416244357. The reversal of 8416244340 is 434426148.

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

It is a junction number, because it is equal to n+sod(n) for n = 8416244295 and 8416244304.

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 47 ways as a sum of consecutive naturals, for example, 139566 + ... + 190554.

It is an arithmetic number, because the mean of its divisors is an integer number (204163960).

Almost surely, 28416244340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8416244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699805120).

8416244340 is an abundant number, since it is smaller than the sum of its proper divisors (20983365900).

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

8416244340 is a wasteful number, since it uses less digits than its factorization.

8416244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51142 (or 51137 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8416244340 is about 91740.0912360567. The cubic root of 8416244340 is about 2034.1022419115.

The spelling of 8416244340 in words is "eight billion, four hundred sixteen million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 131 140 180 210 252 262 315 393 420 524 630 655 786 917 1179 1260 1310 1572 1834 1965 2358 2620 2751 3668 3930 4585 4716 5502 5895 7860 8253 9170 11004 11790 13755 16506 18340 23580 27510 33012 41265 50989 55020 82530 101978 152967 165060 203956 254945 305934 356923 458901 509890 611868 713846 764835 917802 1019780 1070769 1427692 1529670 1784615 1835604 2141538 2294505 3059340 3212307 3569230 4283076 4589010 5353845 6424614 6679559 7138460 9178020 10707690 12849228 13359118 16061535 20038677 21415380 26718236 32123070 33397795 40077354 46756913 60116031 64246140 66795590 80154708 93513826 100193385 120232062 133591180 140270739 187027652 200386770 233784565 240464124 280541478 300580155 400773540 420812217 467569130 561082956 601160310 701353695 841624434 935138260 1202320620 1402707390 1683248868 2104061085 2805414780 4208122170 8416244340