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945148338 = 23423298747
BaseRepresentation
bin111000010101011…
…101000110110010
32102212110111210000
4320111131012302
53413424221323
6233441450430
732264425341
oct7025350662
92385414700
10945148338
11445569a32
12224640a16
13120a73694
148d74db58
1557e98e43
hex3855d1b2

945148338 has 80 divisors (see below), whose sum is σ = 2286377280. Its totient is φ = 290926944.

The previous prime is 945148327. The next prime is 945148343. The reversal of 945148338 is 833841549.

945148338 is a `hidden beast` number, since 94 + 51 + 483 + 38 = 666.

945148338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 945148293 and 945148302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103681 + ... + 112427.

It is an arithmetic number, because the mean of its divisors is an integer number (28579716).

Almost surely, 2945148338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945148338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143188640).

945148338 is an abundant number, since it is smaller than the sum of its proper divisors (1341228942).

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

945148338 is a wasteful number, since it uses less digits than its factorization.

945148338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813 (or 8804 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 945148338 is about 30743.2649209546. The cubic root of 945148338 is about 981.3712367653.

The spelling of 945148338 in words is "nine hundred forty-five million, one hundred forty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 162 174 207 261 414 522 621 667 783 1242 1334 1566 1863 2001 2349 3726 4002 4698 6003 8747 12006 17494 18009 26241 36018 52482 54027 78723 108054 157446 201181 236169 253663 402362 472338 507326 603543 708507 760989 1207086 1417014 1521978 1810629 2282967 3621258 4565934 5431887 5834249 6848901 10863774 11668498 13697802 16295661 17502747 20546703 32591322 35005494 41093406 52508241 105016482 157524723 315049446 472574169 945148338