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949890348 = 223311978243
BaseRepresentation
bin111000100111100…
…010110100101100
32110012101102121000
4320213202310230
53421132442343
6234131240300
732352635421
oct7047426454
92405342530
10949890348
11448208750
12226149090
13121a43bc4
1490225d48
15585d3ed3
hex389e2d2c

949890348 has 96 divisors (see below), whose sum is σ = 2714584320. Its totient is φ = 284843520.

The previous prime is 949890341. The next prime is 949890367. The reversal of 949890348 is 843098949.

949890348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9498903482 = 1804583346447122208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 949890294 and 949890303.

It is not an unprimeable number, because it can be changed into a prime (949890341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111115 + ... + 119357.

It is an arithmetic number, because the mean of its divisors is an integer number (28276920).

Almost surely, 2949890348 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 949890348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357292160).

949890348 is an abundant number, since it is smaller than the sum of its proper divisors (1764693972).

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

949890348 is a wasteful number, since it uses less digits than its factorization.

949890348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 949890348 is about 30820.2911731865. The cubic root of 949890348 is about 983.0097488846.

The spelling of 949890348 in words is "nine hundred forty-nine million, eight hundred ninety thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 97 99 108 132 194 198 291 297 388 396 582 594 873 1067 1164 1188 1746 2134 2619 3201 3492 4268 5238 6402 8243 9603 10476 12804 16486 19206 24729 28809 32972 38412 49458 57618 74187 90673 98916 115236 148374 181346 222561 272019 296748 362692 445122 544038 799571 816057 890244 1088076 1599142 1632114 2398713 2448171 3198284 3264228 4797426 4896342 7196139 8795281 9594852 9792684 14392278 17590562 21588417 26385843 28784556 35181124 43176834 52771686 79157529 86353668 105543372 158315058 237472587 316630116 474945174 949890348