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2834352 = 24311
BaseRepresentation
bin1010110011111110110000
312100000000000
422303332300
51211144402
6140430000
733043263
oct12637660
95300000
102834352
111666544
12b48300
13783141
1453acda
153aec1c
hex2b3fb0

2834352 has 60 divisors (see below), whose sum is σ = 8237320. Its totient is φ = 944784.

The previous prime is 2834347. The next prime is 2834369. The reversal of 2834352 is 2534382.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5760) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944783 + 944784 + 944785.

22834352 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 2834352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118660).

2834352 is an abundant number, since it is smaller than the sum of its proper divisors (5402968).

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

2834352 is an frugal number, since it uses more digits than its factorization.

2834352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 5 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2834352 is about 1683.5533849569. The cubic root of 2834352 is about 141.5200352873.

Multiplying 2834352 by its sum of digits (27), we get a square (76527504 = 87482).

2834352 divided by its sum of digits (27) gives a 4-th power (104976 = 184).

The spelling of 2834352 in words is "two million, eight hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 19683 26244 34992 39366 52488 59049 78732 104976 118098 157464 177147 236196 314928 354294 472392 708588 944784 1417176 2834352