Search a number
-
+
34997328 = 2432475171
BaseRepresentation
bin1000010110000…
…0010001010000
32102212001022100
42011200101100
532424403303
63250040400
7603321012
oct205402120
972761270
1034997328
1118834013
12b879100
1373347a2
1449101b2
1531148a3
hex2160450

34997328 has 60 divisors (see below), whose sum is σ = 100047168. Its totient is φ = 11415360.

The previous prime is 34997327. The next prime is 34997353. The reversal of 34997328 is 82379943.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34997321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4183 + ... + 9353.

Almost surely, 234997328 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 34997328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50023584).

34997328 is an abundant number, since it is smaller than the sum of its proper divisors (65049840).

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

34997328 is a wasteful number, since it uses less digits than its factorization.

34997328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5223 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 34997328 is about 5915.8539535726. The cubic root of 34997328 is about 327.0983067221.

The spelling of 34997328 in words is "thirty-four million, nine hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 5171 6768 10342 15513 20684 31026 41368 46539 62052 82736 93078 124104 186156 243037 248208 372312 486074 729111 744624 972148 1458222 1944296 2187333 2916444 3888592 4374666 5832888 8749332 11665776 17498664 34997328