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394827144 = 233192199229
BaseRepresentation
bin10111100010001…
…001010110001000
31000111221022000120
4113202021112020
51302033432034
6103102303240
712532655355
oct2742112610
91014838016
10394827144
11192962528
12b0287b20
1363a4cc3a
143a61962c
15249e0c49
hex17889588

394827144 has 96 divisors (see below), whose sum is σ = 1051560000. Its totient is φ = 123513984.

The previous prime is 394827113. The next prime is 394827271. The reversal of 394827144 is 441728493.

It is a junction number, because it is equal to n+sod(n) for n = 394827096 and 394827105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1724022 + ... + 1724250.

It is an arithmetic number, because the mean of its divisors is an integer number (10953750).

Almost surely, 2394827144 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 394827144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525780000).

394827144 is an abundant number, since it is smaller than the sum of its proper divisors (656732856).

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

394827144 is a wasteful number, since it uses less digits than its factorization.

394827144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 452 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 394827144 is about 19870.2577738690. The cubic root of 394827144 is about 733.6163482461.

The spelling of 394827144 in words is "three hundred ninety-four million, eight hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 199 228 229 361 398 456 458 597 687 722 796 916 1083 1194 1374 1444 1592 1832 2166 2388 2748 2888 3781 4332 4351 4776 5496 7562 8664 8702 11343 13053 15124 17404 22686 26106 30248 34808 45372 45571 52212 71839 82669 90744 91142 104424 136713 143678 165338 182284 215517 248007 273426 287356 330676 364568 431034 496014 546852 574712 661352 862068 865849 992028 1093704 1724136 1731698 1984056 2597547 3463396 5195094 6926792 10390188 16451131 20780376 32902262 49353393 65804524 98706786 131609048 197413572 394827144