Search a number
-
+
980642304 = 2932593607
BaseRepresentation
bin111010011100110…
…110101000000000
32112100020210100100
4322130312220000
54002021023204
6241150322400
733205215315
oct7234665000
92470223310
10980642304
11463602094
122344b9400
13128220225
149434cd0c
155b15aa39
hex3a736a00

980642304 has 120 divisors (see below), whose sum is σ = 2878967520. Its totient is φ = 321251328.

The previous prime is 980642293. The next prime is 980642381. The reversal of 980642304 is 403246089.

It is a happy number.

980642304 is a `hidden beast` number, since 9 + 8 + 0 + 642 + 3 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270069 + ... + 273675.

It is an arithmetic number, because the mean of its divisors is an integer number (23991396).

Almost surely, 2980642304 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 980642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439483760).

980642304 is an abundant number, since it is smaller than the sum of its proper divisors (1898325216).

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

980642304 is a wasteful number, since it uses less digits than its factorization.

980642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 980642304 is about 31315.2088289381. The cubic root of 980642304 is about 993.5053454449.

The spelling of 980642304 in words is "nine hundred eighty million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1062 1152 1416 1536 1888 2124 2304 2832 3607 3776 4248 4608 5664 7214 7552 8496 10821 11328 14428 15104 16992 21642 22656 28856 30208 32463 33984 43284 45312 57712 64926 67968 86568 90624 115424 129852 135936 173136 212813 230848 259704 271872 346272 425626 461696 519408 638439 692544 851252 923392 1038816 1276878 1385088 1702504 1846784 1915317 2077632 2553756 2770176 3405008 3830634 4155264 5107512 5540352 6810016 7661268 8310528 10215024 13620032 15322536 16621056 20430048 27240064 30645072 40860096 54480128 61290144 81720192 108960256 122580288 163440384 245160576 326880768 490321152 980642304