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705380364 = 22321310114923
BaseRepresentation
bin101010000010110…
…100000000001100
31211011022000221200
4222002310000030
52421034132424
6153554425500
723323430343
oct5202640014
91734260850
10705380364
11332194787
12178292290
13b31a4340
1469978b5a
1541dd68c9
hex2a0b400c

705380364 has 72 divisors (see below), whose sum is σ = 1939343952. Its totient is φ = 214876800.

The previous prime is 705380329. The next prime is 705380383. The reversal of 705380364 is 463083507.

It is a happy number.

It is a super-2 number, since 2×7053803642 = 995122915833544992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39807 + ... + 54729.

Almost surely, 2705380364 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 705380364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969671976).

705380364 is an abundant number, since it is smaller than the sum of its proper divisors (1233963588).

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

705380364 is a wasteful number, since it uses less digits than its factorization.

705380364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15047 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 705380364 is about 26558.9977973567. The cubic root of 705380364 is about 890.1730774788.

The spelling of 705380364 in words is "seven hundred five million, three hundred eighty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 468 606 909 1212 1313 1818 2626 3636 3939 5252 7878 11817 14923 15756 23634 29846 44769 47268 59692 89538 134307 179076 193999 268614 387998 537228 581997 775996 1163994 1507223 1745991 2327988 3014446 3491982 4521669 6028892 6983964 9043338 13565007 18086676 19593899 27130014 39187798 54260028 58781697 78375596 117563394 176345091 235126788 352690182 705380364