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76234320 = 24325113937
BaseRepresentation
bin1001000101100…
…11111001010000
312022110002211100
410202303321100
5124003444240
611321544400
71613660331
oct442637120
9168402740
1076234320
113a039a78
1221645100
1312a42386
14a1a6288
156a5ce30
hex48b3e50

76234320 has 120 divisors (see below), whose sum is σ = 258561576. Its totient is φ = 20127744.

The previous prime is 76234309. The next prime is 76234321. The reversal of 76234320 is 2343267.

76234320 is a `hidden beast` number, since 7 + 623 + 4 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 70358544 = 2424^2 + 8388^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76234321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80892 + ... + 81828.

Almost surely, 276234320 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 76234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129280788).

76234320 is an abundant number, since it is smaller than the sum of its proper divisors (182327256).

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

76234320 is a wasteful number, since it uses less digits than its factorization.

76234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 76234320 is about 8731.2267179360. The cubic root of 76234320 is about 424.0172355638.

Adding to 76234320 its reverse (2343267), we get a palindrome (78577587).

The spelling of 76234320 in words is "seventy-six million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 678 720 904 937 1017 1130 1356 1695 1808 1874 2034 2260 2712 2811 3390 3748 4068 4520 4685 5085 5424 5622 6780 7496 8136 8433 9040 9370 10170 11244 13560 14055 14992 16272 16866 18740 20340 22488 27120 28110 33732 37480 40680 42165 44976 56220 67464 74960 81360 84330 105881 112440 134928 168660 211762 224880 317643 337320 423524 529405 635286 674640 847048 952929 1058810 1270572 1588215 1694096 1905858 2117620 2541144 3176430 3811716 4235240 4764645 5082288 6352860 7623432 8470480 9529290 12705720 15246864 19058580 25411440 38117160 76234320