Search a number
-
+
34274352 = 2437831229
BaseRepresentation
bin1000001010111…
…1110000110000
32101111022120110
42002233300300
532233234402
63222341320
7564220140
oct202576060
971438513
1034274352
111838a912
12b58a840
1371406a8
1447a2920
15302056c
hex20afc30

34274352 has 80 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 9666816.

The previous prime is 34274351. The next prime is 34274353. The reversal of 34274352 is 25347243.

It is an interprime number because it is at equal distance from previous prime (34274351) and next prime (34274353).

It is not an unprimeable number, because it can be changed into a prime (34274351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27274 + ... + 28502.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 234274352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34274352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

34274352 is an abundant number, since it is smaller than the sum of its proper divisors (68219088).

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

34274352 is a wasteful number, since it uses less digits than its factorization.

34274352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its digits is 20160, while the sum is 30.

The square root of 34274352 is about 5854.4301174410. The cubic root of 34274352 is about 324.8302134852.

The spelling of 34274352 in words is "thirty-four million, two hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1229 1328 1743 1992 2324 2458 3486 3687 3984 4648 4916 6972 7374 8603 9296 9832 13944 14748 17206 19664 25809 27888 29496 34412 51618 58992 68824 102007 103236 137648 204014 206472 306021 408028 412944 612042 714049 816056 1224084 1428098 1632112 2142147 2448168 2856196 4284294 4896336 5712392 8568588 11424784 17137176 34274352