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87740334 = 2341153929
BaseRepresentation
bin1010011101011…
…00111110101110
320010002200010000
411032230332232
5134430142314
612412325130
72113531503
oct516547656
9203080100
1087740334
1145588680
12254737a6
1315240576
14b91d4aa
157a82209
hex53acfae

87740334 has 80 divisors (see below), whose sum is σ = 218758320. Its totient is φ = 26058240.

The previous prime is 87740333. The next prime is 87740353. The reversal of 87740334 is 43304778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87740333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93982 + ... + 94910.

It is an arithmetic number, because the mean of its divisors is an integer number (2734479).

Almost surely, 287740334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87740334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109379160).

87740334 is an abundant number, since it is smaller than the sum of its proper divisors (131017986).

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

87740334 is a wasteful number, since it uses less digits than its factorization.

87740334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 87740334 is about 9366.9810504773. The cubic root of 87740334 is about 444.3580931452.

Subtracting from 87740334 its reverse (43304778), we obtain a square (44435556 = 66662).

The spelling of 87740334 in words is "eighty-seven million, seven hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 297 318 477 583 594 891 929 954 1166 1431 1749 1782 1858 2787 2862 3498 4293 5247 5574 8361 8586 10219 10494 15741 16722 20438 25083 30657 31482 47223 49237 50166 61314 75249 91971 94446 98474 147711 150498 183942 275913 295422 443133 541607 551826 827739 886266 1083214 1329399 1624821 1655478 2658798 3249642 3988197 4874463 7976394 9748926 14623389 29246778 43870167 87740334