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1294472304 = 2432291072897
BaseRepresentation
bin100110100101000…
…0001010001110000
310100012210000011200
41031022001101300
510122341103204
6332241011200
744035555506
oct11512012160
93305700150
101294472304
11604772224
12301623b00
13178250c58
14c3cc2676
157899c539
hex4d281470

1294472304 has 120 divisors (see below), whose sum is σ = 3783976560. Its totient is φ = 412575744.

The previous prime is 1294472279. The next prime is 1294472323. The reversal of 1294472304 is 4032744921.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445384 + ... + 448280.

It is an arithmetic number, because the mean of its divisors is an integer number (31533138).

Almost surely, 21294472304 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 1294472304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891988280).

1294472304 is an abundant number, since it is smaller than the sum of its proper divisors (2489504256).

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

1294472304 is a wasteful number, since it uses less digits than its factorization.

1294472304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1294472304 is about 35978.7757434852. The cubic root of 1294472304 is about 1089.8437909861.

The spelling of 1294472304 in words is "one billion, two hundred ninety-four million, four hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 107 116 144 174 214 232 261 321 348 428 464 522 642 696 856 963 1044 1284 1392 1712 1926 2088 2568 2897 3103 3852 4176 5136 5794 6206 7704 8691 9309 11588 12412 15408 17382 18618 23176 24824 26073 27927 34764 37236 46352 49648 52146 55854 69528 74472 84013 104292 111708 139056 148944 168026 208584 223416 252039 309979 336052 417168 446832 504078 619958 672104 756117 929937 1008156 1239916 1344208 1512234 1859874 2016312 2479832 2789811 3024468 3719748 4032624 4959664 5579622 6048936 7439496 8989391 11159244 12097872 14878992 17978782 22318488 26968173 35957564 44636976 53936346 71915128 80904519 107872692 143830256 161809038 215745384 323618076 431490768 647236152 1294472304