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34313312 = 2511432267
BaseRepresentation
bin1000001011100…
…1010001100000
32101120022000102
42002321101200
532241011222
63223241532
7564441545
oct202712140
971508012
1034313312
1118407110
12b5a92a8
137155347
1447b2bcc
15302bd92
hex20b9460

34313312 has 48 divisors (see below), whose sum is σ = 75442752. Its totient is φ = 15227520.

The previous prime is 34313303. The next prime is 34313333. The reversal of 34313312 is 21331343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14003 + ... + 16269.

It is an arithmetic number, because the mean of its divisors is an integer number (1571724).

Almost surely, 234313312 is an apocalyptic number.

34313312 is a gapful number since it is divisible by the number (32) 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 34313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37721376).

34313312 is an abundant number, since it is smaller than the sum of its proper divisors (41129440).

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

34313312 is a wasteful number, since it uses less digits than its factorization.

34313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2323 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 34313312 is about 5857.7565671509. The cubic root of 34313312 is about 324.9532461344.

Adding to 34313312 its reverse (21331343), we get a palindrome (55644655).

The spelling of 34313312 in words is "thirty-four million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 2267 3784 4534 7568 9068 15136 18136 24937 36272 49874 72544 97481 99748 194962 199496 389924 398992 779848 797984 1072291 1559696 2144582 3119392 4289164 8578328 17156656 34313312