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87034224 = 24347173223
BaseRepresentation
bin1010011000000…
…00100101110000
320001202210111210
411030000211300
5134240043344
612345240120
72104531044
oct514004560
9201683453
1087034224
1145146112
1225193040
1315054054
14b7b8024
157992db9
hex5300970

87034224 has 80 divisors (see below), whose sum is σ = 231985152. Its totient is φ = 28103424.

The previous prime is 87034217. The next prime is 87034229. The reversal of 87034224 is 42243078.

It is a super-2 number, since 2×870342242 = 15149912294564352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87034191 and 87034200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87034229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390177 + ... + 390399.

Almost surely, 287034224 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 87034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115992576).

87034224 is an abundant number, since it is smaller than the sum of its proper divisors (144950928).

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

87034224 is a wasteful number, since it uses less digits than its factorization.

87034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 87034224 is about 9329.2134716706. The cubic root of 87034224 is about 443.1628573008.

The spelling of 87034224 in words is "eighty-seven million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 173 188 223 282 346 376 446 519 564 669 692 752 892 1038 1128 1338 1384 1784 2076 2256 2676 2768 3568 4152 5352 8131 8304 10481 10704 16262 20962 24393 31443 32524 38579 41924 48786 62886 65048 77158 83848 97572 115737 125772 130096 154316 167696 195144 231474 251544 308632 390288 462948 503088 617264 925896 1813213 1851792 3626426 5439639 7252852 10879278 14505704 21758556 29011408 43517112 87034224