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384244146 = 2321113211483
BaseRepresentation
bin10110111001110…
…001100110110010
3222210000121212200
4112321301212302
51241331303041
6102043404030
712344010216
oct2671614662
9883017780
10384244146
11187994350
12a8823616
13617b5c00
1439062946
1523b001b6
hex16e719b2

384244146 has 72 divisors (see below), whose sum is σ = 983535696. Its totient is φ = 107471520.

The previous prime is 384244123. The next prime is 384244153. The reversal of 384244146 is 641442483.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 384244146.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27721 + ... + 39203.

It is an arithmetic number, because the mean of its divisors is an integer number (13660218).

Almost surely, 2384244146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384244146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491767848).

384244146 is an abundant number, since it is smaller than the sum of its proper divisors (599291550).

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

384244146 is a wasteful number, since it uses less digits than its factorization.

384244146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11528 (or 11512 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 384244146 is about 19602.1464640993. The cubic root of 384244146 is about 727.0022471104.

The spelling of 384244146 in words is "three hundred eighty-four million, two hundred forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 1014 1287 1521 1859 2574 3042 3718 5577 11154 11483 16731 22966 33462 34449 68898 103347 126313 149279 206694 252626 298558 378939 447837 757878 895674 1136817 1343511 1642069 1940627 2273634 2687022 3284138 3881254 4926207 5821881 9852414 11643762 14778621 17465643 21346897 29557242 34931286 42693794 64040691 128081382 192122073 384244146