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874730934 = 233711712963
BaseRepresentation
bin110100001000110…
…101010110110110
32020221221221021000
4310020311112312
53242412342214
6222444304130
730451042650
oct6410652666
92227857230
10874730934
11409843330
12204b42046
1310c2b9b8c
148425d6d0
1551bd9809
hex342355b6

874730934 has 128 divisors (see below), whose sum is σ = 2458460160. Its totient is φ = 223927200.

The previous prime is 874730929. The next prime is 874730939. The reversal of 874730934 is 439037478.

It is a happy number.

874730934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (874730929) and next prime (874730939).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 874730934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874730939) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293737 + ... + 296699.

It is an arithmetic number, because the mean of its divisors is an integer number (19206720).

Almost surely, 2874730934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874730934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229230080).

874730934 is an abundant number, since it is smaller than the sum of its proper divisors (1583729226).

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

874730934 is a wasteful number, since it uses less digits than its factorization.

874730934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 874730934 is about 29575.8505203147. The cubic root of 874730934 is about 956.3675423369.

The spelling of 874730934 in words is "eight hundred seventy-four million, seven hundred thirty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 71 77 99 126 142 154 189 198 213 231 297 378 426 462 497 594 639 693 781 994 1278 1386 1491 1562 1917 2079 2343 2963 2982 3834 4158 4473 4686 5467 5926 7029 8889 8946 10934 13419 14058 16401 17778 20741 21087 26667 26838 32593 32802 41482 42174 49203 53334 62223 65186 80001 97779 98406 124446 147609 160002 186669 195558 210373 228151 293337 295218 373338 420746 456302 560007 586674 631119 684453 880011 1120014 1262238 1368906 1472611 1760022 1893357 2053359 2314103 2945222 3786714 4106718 4417833 4628206 5680071 6160077 6942309 8835666 11360142 12320154 13253499 13884618 16198721 20826927 26506998 32397442 39760497 41653854 48596163 62480781 79520994 97192326 124961562 145788489 291576978 437365467 874730934