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945148344 = 23376598537
BaseRepresentation
bin111000010101011…
…101000110111000
32102212110111210020
4320111131012320
53413424221334
6233441450440
732264425350
oct7025350670
92385414706
10945148344
11445569a38
12224640a20
13120a7369a
148d74db60
1557e98e49
hex3855d1b8

945148344 has 64 divisors (see below), whose sum is σ = 2704838400. Its totient is φ = 269601024.

The previous prime is 945148343. The next prime is 945148381. The reversal of 945148344 is 443841549.

945148344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 945148296 and 945148305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945148343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106444 + ... + 114980.

It is an arithmetic number, because the mean of its divisors is an integer number (42263100).

Almost surely, 2945148344 is an apocalyptic number.

It is an amenable number.

945148344 is an abundant number, since it is smaller than the sum of its proper divisors (1759690056).

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

945148344 is a wasteful number, since it uses less digits than its factorization.

945148344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9208 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 945148344 is about 30743.2650185370. The cubic root of 945148344 is about 981.3712388420.

The spelling of 945148344 in words is "nine hundred forty-five million, one hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 659 1318 1977 2636 3954 4613 5272 7908 8537 9226 13839 15816 17074 18452 25611 27678 34148 36904 51222 55356 59759 68296 102444 110712 119518 179277 204888 239036 358554 478072 717108 1434216 5625883 11251766 16877649 22503532 33755298 39381181 45007064 67510596 78762362 118143543 135021192 157524724 236287086 315049448 472574172 945148344