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985427304 = 2331753199229
BaseRepresentation
bin111010101111000…
…110110101101000
32112200020220010120
4322233012311220
54004232133204
6241441043240
733263664621
oct7257066550
92480226116
10985427304
11466280134
12236026520
131292071a4
1494c36a48
155b7a36d9
hex3abc6d68

985427304 has 128 divisors (see below), whose sum is σ = 2682720000. Its totient is φ = 300478464.

The previous prime is 985427297. The next prime is 985427309. The reversal of 985427304 is 403724589.

It is not an unprimeable number, because it can be changed into a prime (985427309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4303062 + ... + 4303290.

It is an arithmetic number, because the mean of its divisors is an integer number (20958750).

Almost surely, 2985427304 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 985427304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341360000).

985427304 is an abundant number, since it is smaller than the sum of its proper divisors (1697292696).

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

985427304 is a wasteful number, since it uses less digits than its factorization.

985427304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 985427304 is about 31391.5164335844. The cubic root of 985427304 is about 995.1186458184.

The spelling of 985427304 in words is "nine hundred eighty-five million, four hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 199 204 212 229 318 398 408 424 458 597 636 687 796 901 916 1194 1272 1374 1592 1802 1832 2388 2703 2748 3383 3604 3893 4776 5406 5496 6766 7208 7786 10149 10547 10812 11679 12137 13532 15572 20298 21094 21624 23358 24274 27064 31144 31641 36411 40596 42188 45571 46716 48548 63282 72822 81192 84376 91142 93432 97096 126564 136713 145644 179299 182284 206329 253128 273426 291288 358598 364568 412658 537897 546852 618987 717196 774707 825316 1075794 1093704 1237974 1434392 1549414 1650632 2151588 2324121 2415263 2475948 3098828 4303176 4648242 4830526 4951896 6197656 7245789 9296484 9661052 14491578 18592968 19322104 28983156 41059471 57966312 82118942 123178413 164237884 246356826 328475768 492713652 985427304