Search a number
-
+
34492068 = 22341319431
BaseRepresentation
bin1000001110010…
…0111010100100
32101220101020000
42003210322210
532312221233
63231141300
7566114652
oct203447244
971811200
1034492068
1118519446
12b674830
1371b8810
14481bdd2
153064d13
hex20e4ea4

34492068 has 120 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 10031040.

The previous prime is 34492043. The next prime is 34492091. The reversal of 34492068 is 86029443.

It is a happy number.

34492068 is a `hidden beast` number, since 3 + 449 + 206 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79813 + ... + 80243.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 234492068 is an apocalyptic number.

34492068 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34492068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

34492068 is an abundant number, since it is smaller than the sum of its proper divisors (67961052).

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

34492068 is a wasteful number, since it uses less digits than its factorization.

34492068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34492068 is about 5872.9948067404. The cubic root of 34492068 is about 325.5165529181.

The spelling of 34492068 in words is "thirty-four million, four hundred ninety-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 431 468 494 513 684 702 741 862 988 1026 1053 1293 1404 1482 1539 1724 2052 2106 2223 2586 2964 3078 3879 4212 4446 5172 5603 6156 6669 7758 8189 8892 11206 11637 13338 15516 16378 16809 20007 22412 23274 24567 26676 32756 33618 34911 40014 46548 49134 50427 67236 69822 73701 80028 98268 100854 106457 139644 147402 151281 201708 212914 221103 294804 302562 319371 425828 442206 453843 605124 638742 663309 884412 907686 958113 1277484 1326618 1815372 1916226 2653236 2874339 3832452 5748678 8623017 11497356 17246034 34492068