Search a number
-
+
341660000 = 2554111553
BaseRepresentation
bin10100010111010…
…101000101100000
3212210220010102002
4110113111011200
51144431110000
653522543132
711316030203
oct2427250540
9783803362
10341660000
11165949240
1296507aa8
1355a260a6
143353993a
151eedc8d5
hex145d5160

341660000 has 120 divisors (see below), whose sum is σ = 917537544. Its totient is φ = 124160000.

The previous prime is 341659943. The next prime is 341660003. The reversal of 341660000 is 66143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341660003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219224 + ... + 220776.

Almost surely, 2341660000 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 341660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458768772).

341660000 is an abundant number, since it is smaller than the sum of its proper divisors (575877544).

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

341660000 is a wasteful number, since it uses less digits than its factorization.

341660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 341660000 is about 18484.0471758757. The cubic root of 341660000 is about 699.0872457195.

It can be divided in two parts, 34 and 1660000, that multiplied together give a triangular number (56440000 = T10624).

The spelling of 341660000 in words is "three hundred forty-one million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1553 1760 2000 2200 2500 2750 3106 4000 4400 5000 5500 6212 6875 7765 8800 10000 11000 12424 13750 15530 17083 20000 22000 24848 27500 31060 34166 38825 44000 49696 55000 62120 68332 77650 85415 110000 124240 136664 155300 170830 194125 220000 248480 273328 310600 341660 388250 427075 546656 621200 683320 776500 854150 970625 1242400 1366640 1553000 1708300 1941250 2135375 2733280 3106000 3416600 3882500 4270750 6212000 6833200 7765000 8541500 10676875 13666400 15530000 17083000 21353750 31060000 34166000 42707500 68332000 85415000 170830000 341660000