Search a number
-
+
34842990 = 23571312763
BaseRepresentation
bin1000010011101…
…0100101101110
32102120012121010
42010322211232
532404433430
63242450050
7602106030
oct204724556
972505533
1034842990
1118739066
12b803926
1372ac470
1448adc50
1530d3cb0
hex213a96e

34842990 has 64 divisors (see below), whose sum is σ = 102928896. Its totient is φ = 7350912.

The previous prime is 34842931. The next prime is 34843009. The reversal of 34842990 is 9924843.

34842990 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 (39).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3652 + ... + 9111.

It is an arithmetic number, because the mean of its divisors is an integer number (1608264).

Almost surely, 234842990 is an apocalyptic number.

34842990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34842990 is an abundant number, since it is smaller than the sum of its proper divisors (68085906).

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

34842990 is a wasteful number, since it uses less digits than its factorization.

34842990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34842990 is about 5902.7951006282. The cubic root of 34842990 is about 326.6167643241.

The spelling of 34842990 in words is "thirty-four million, eight hundred forty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 12763 25526 38289 63815 76578 89341 127630 165919 178682 191445 268023 331838 382890 446705 497757 536046 829595 893410 995514 1161433 1340115 1659190 2322866 2488785 2680230 3484299 4977570 5807165 6968598 11614330 17421495 34842990