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4294344978 = 2337116116931
BaseRepresentation
bin1111111111110110…
…1000000100010010
3102002021120022212000
43333331220010102
532243323014403
61550042414430
7211263221130
oct37775500422
912067508760
104294344978
111904055a40
129ba201416
135358bc541
142ca494750
151a20187a3
hexfff68112

4294344978 has 128 divisors (see below), whose sum is σ = 12093511680. Its totient is φ = 1097064000.

The previous prime is 4294344953. The next prime is 4294344979. The reversal of 4294344978 is 8794434924.

4294344978 is a `hidden beast` number, since 4 + 294 + 344 + 9 + 7 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4294344979) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245173 + ... + 262103.

It is an arithmetic number, because the mean of its divisors is an integer number (94480560).

Almost surely, 24294344978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4294344978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046755840).

4294344978 is an abundant number, since it is smaller than the sum of its proper divisors (7799166702).

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

4294344978 is a wasteful number, since it uses less digits than its factorization.

4294344978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17021 (or 17015 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 4294344978 is about 65531.2519184549. The cubic root of 4294344978 is about 1625.4201647086.

The spelling of 4294344978 in words is "four billion, two hundred ninety-four million, three hundred forty-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 61 63 66 77 99 122 126 154 183 189 198 231 297 366 378 427 462 549 594 671 693 854 1098 1281 1342 1386 1647 2013 2079 2562 3294 3843 4026 4158 4697 6039 7686 9394 11529 12078 14091 16931 18117 23058 28182 33862 36234 42273 50793 84546 101586 118517 126819 152379 186241 237034 253638 304758 355551 372482 457137 558723 711102 914274 1032791 1066653 1117446 1303687 1676169 2065582 2133306 2607374 3098373 3199959 3352338 3911061 5028507 6196746 6399918 7229537 7822122 9295119 10057014 11360701 11733183 14459074 18590238 21688611 22721402 23466366 27885357 34082103 35199549 43377222 55770714 65065833 68164206 70399098 79524907 102246309 130131666 159049814 195197499 204492618 238574721 306738927 390394998 477149442 613477854 715724163 1431448326 2147172489 4294344978