Search a number
-
+
90340608 = 283791489
BaseRepresentation
bin1010110001001…
…11110100000000
320021222210000110
411120213310000
5141111344413
612544151320
72144611461
oct530476400
9207883013
1090340608
1146aa4266
1226308540
1315940ca7
14bdd8d68
157de78c3
hex5627d00

90340608 has 72 divisors (see below), whose sum is σ = 243644800. Its totient is φ = 29712384.

The previous prime is 90340577. The next prime is 90340633. The reversal of 90340608 is 80604309.

It is a super-2 number, since 2×903406082 = 16322850907619328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 59928 + ... + 61416.

Almost surely, 290340608 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 90340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121822400).

90340608 is an abundant number, since it is smaller than the sum of its proper divisors (153304192).

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

90340608 is a wasteful number, since it uses less digits than its factorization.

90340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 90340608 is about 9504.7676457660. The cubic root of 90340608 is about 448.7050971642.

The spelling of 90340608 in words is "ninety million, three hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1489 1896 2528 2978 3792 4467 5056 5956 7584 8934 10112 11912 15168 17868 20224 23824 30336 35736 47648 60672 71472 95296 117631 142944 190592 235262 285888 352893 381184 470524 571776 705786 941048 1143552 1411572 1882096 2823144 3764192 5646288 7528384 11292576 15056768 22585152 30113536 45170304 90340608