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34454706 = 23111323089
BaseRepresentation
bin1000001101101…
…1110010110010
32101211110222020
42003123302302
532310022311
63230252310
7565601016
oct203336262
971743866
1034454706
11184a3370
12b657096
1371a4800
14480c546
153058c06
hex20dbcb2

34454706 has 48 divisors (see below), whose sum is σ = 81427680. Its totient is φ = 9634560.

The previous prime is 34454689. The next prime is 34454731. The reversal of 34454706 is 60745443.

It is a happy number.

34454706 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 (33).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 9610 + ... + 12698.

It is an arithmetic number, because the mean of its divisors is an integer number (1696410).

Almost surely, 234454706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40713840).

34454706 is an abundant number, since it is smaller than the sum of its proper divisors (46972974).

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

34454706 is a wasteful number, since it uses less digits than its factorization.

34454706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 34454706 is about 5869.8131145719. The cubic root of 34454706 is about 325.3989766743.

The spelling of 34454706 in words is "thirty-four million, four hundred fifty-four thousand, seven hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 3089 3718 5577 6178 9267 11154 18534 33979 40157 67958 80314 101937 120471 203874 240942 441727 522041 883454 1044082 1325181 1566123 2650362 3132246 5742451 11484902 17227353 34454706