Search a number
-
+
341660664 = 233237277463
BaseRepresentation
bin10100010111010…
…101001111111000
3212210220011022200
4110113111033320
51144431120124
653522550200
711316032142
oct2427251770
9783804280
10341660664
11165949794
1296508360
1355a26497
1433539c92
151eedcbc9
hex145d53f8

341660664 has 96 divisors (see below), whose sum is σ = 955830720. Its totient is φ = 110170368.

The previous prime is 341660623. The next prime is 341660677. The reversal of 341660664 is 466066143.

341660664 is a `hidden beast` number, since 3 + 41 + 6 + 606 + 6 + 4 = 666.

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

It is a congruent number.

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, 737697 + ... + 738159.

It is an arithmetic number, because the mean of its divisors is an integer number (9956570).

Almost surely, 2341660664 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 341660664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477915360).

341660664 is an abundant number, since it is smaller than the sum of its proper divisors (614170056).

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

341660664 is a wasteful number, since it uses less digits than its factorization.

341660664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 341660664 is about 18484.0651373014. The cubic root of 341660664 is about 699.0876986002.

The spelling of 341660664 in words is "three hundred forty-one million, six hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 277 296 333 444 463 554 666 831 888 926 1108 1332 1389 1662 1852 2216 2493 2664 2778 3324 3704 4167 4986 5556 6648 8334 9972 10249 11112 16668 17131 19944 20498 30747 33336 34262 40996 51393 61494 68524 81992 92241 102786 122988 128251 137048 154179 184482 205572 245976 256502 308358 368964 384753 411144 513004 616716 737928 769506 1026008 1154259 1233432 1539012 2308518 3078024 4617036 4745287 9234072 9490574 14235861 18981148 28471722 37962296 42707583 56943444 85415166 113886888 170830332 341660664