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341134000 = 2453281607
BaseRepresentation
bin10100010101010…
…100101010110000
3212202220101212121
4110111110222300
51144312242000
653503404024
711311406524
oct2425245260
9782811777
10341134000
1116561a029
12962b3614
13558a084c
143343dd84
151ee36b1a
hex14554ab0

341134000 has 80 divisors (see below), whose sum is σ = 829161216. Its totient is φ = 135744000.

The previous prime is 341133997. The next prime is 341134009. The reversal of 341134000 is 431143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341134009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561697 + ... + 562303.

Almost surely, 2341134000 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 341134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414580608).

341134000 is an abundant number, since it is smaller than the sum of its proper divisors (488027216).

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

341134000 is a wasteful number, since it uses less digits than its factorization.

341134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 341134000 is about 18469.8132096673. The cubic root of 341134000 is about 698.7283033405.

Adding to 341134000 its reverse (431143), we get a palindrome (341565143).

The spelling of 341134000 in words is "three hundred forty-one million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 281 400 500 562 607 1000 1124 1214 1405 2000 2248 2428 2810 3035 4496 4856 5620 6070 7025 9712 11240 12140 14050 15175 22480 24280 28100 30350 35125 48560 56200 60700 70250 75875 112400 121400 140500 151750 170567 242800 281000 303500 341134 562000 607000 682268 852835 1214000 1364536 1705670 2729072 3411340 4264175 6822680 8528350 13645360 17056700 21320875 34113400 42641750 68226800 85283500 170567000 341134000