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34848132 = 223112271163
BaseRepresentation
bin1000010011101…
…1110110000100
32102120110122120
42010323312010
532410120012
63242525540
7602130024
oct204736604
972513576
1034848132
1118741a10
12b8068b0
1372b18c7
1448b1a84
1530d558c
hex213bd84

34848132 has 48 divisors (see below), whose sum is σ = 89171712. Its totient is φ = 10504480.

The previous prime is 34848097. The next prime is 34848139. The reversal of 34848132 is 23184843.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34848093 and 34848102.

It is not an unprimeable number, because it can be changed into a prime (34848139) 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, 29383 + ... + 30545.

It is an arithmetic number, because the mean of its divisors is an integer number (1857744).

Almost surely, 234848132 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 34848132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44585856).

34848132 is an abundant number, since it is smaller than the sum of its proper divisors (54323580).

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

34848132 is a wasteful number, since it uses less digits than its factorization.

34848132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1406 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 34848132 is about 5903.2306409287. The cubic root of 34848132 is about 326.6328304997.

It can be divided in two parts, 34848 and 132, that added together give a triangular number (34980 = T264).

The spelling of 34848132 in words is "thirty-four million, eight hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1163 1362 2326 2497 2724 3489 4652 4994 6978 7491 9988 12793 13956 14982 25586 29964 38379 51172 76758 153516 264001 528002 792003 1056004 1584006 2904011 3168012 5808022 8712033 11616044 17424066 34848132