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287134432 = 2513761907
BaseRepresentation
bin10001000111010…
…101001011100000
3202000021221101121
4101013111023200
51042001300212
644254142024
710054413424
oct2107251340
9660257347
10287134432
11138097392
12801b1914
1347644b40
142a1c4b84
151a31bd07
hex111d52e0

287134432 has 48 divisors (see below), whose sum is σ = 610252272. Its totient is φ = 132203520.

The previous prime is 287134387. The next prime is 287134451. The reversal of 287134432 is 234431782.

287134432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316123 + ... + 317029.

It is an arithmetic number, because the mean of its divisors is an integer number (12713589).

Almost surely, 2287134432 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 287134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305126136).

287134432 is an abundant number, since it is smaller than the sum of its proper divisors (323117840).

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

287134432 is a wasteful number, since it uses less digits than its factorization.

287134432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1683 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 287134432 is about 16945.0415166207. The cubic root of 287134432 is about 659.7232019584.

The spelling of 287134432 in words is "two hundred eighty-seven million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 761 907 1522 1814 3044 3628 6088 7256 9893 11791 12176 14512 19786 23582 24352 29024 39572 47164 79144 94328 158288 188656 316576 377312 690227 1380454 2760908 5521816 8972951 11043632 17945902 22087264 35891804 71783608 143567216 287134432