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34313466 = 2311312541
BaseRepresentation
bin1000001011100…
…1010011111010
32101120022020010
42002321103322
532241012331
63223242350
7564442155
oct202712372
971508203
1034313466
1118407240
12b5a93b6
137155435
1447b2c9c
15302be46
hex20b94fa

34313466 has 48 divisors (see below), whose sum is σ = 77501664. Its totient is φ = 10044000.

The previous prime is 34313443. The next prime is 34313479. The reversal of 34313466 is 66431343.

34313466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 63156 + ... + 63696.

It is an arithmetic number, because the mean of its divisors is an integer number (1614618).

Almost surely, 234313466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38750832).

34313466 is an abundant number, since it is smaller than the sum of its proper divisors (43188198).

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

34313466 is a wasteful number, since it uses less digits than its factorization.

34313466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 588 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 34313466 is about 5857.7697121003. The cubic root of 34313466 is about 324.9537322696.

The spelling of 34313466 in words is "thirty-four million, three hundred thirteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 541 682 961 1023 1082 1623 1922 2046 2883 3246 5766 5951 10571 11902 16771 17853 21142 31713 33542 35706 50313 63426 100626 184481 368962 519901 553443 1039802 1106886 1559703 3119406 5718911 11437822 17156733 34313466