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342060000 = 253545701
BaseRepresentation
bin10100011000110…
…110101111100000
3212211122110002220
4110120312233200
51200031410000
653535311040
711322314322
oct2430665740
9784573086
10342060000
111660a1817
129667b480
1355b36189
1433601612
152006b1a0
hex14636be0

342060000 has 120 divisors (see below), whose sum is σ = 1122222024. Its totient is φ = 91200000.

The previous prime is 342059989. The next prime is 342060011. The reversal of 342060000 is 60243.

It is an interprime number because it is at equal distance from previous prime (342059989) and next prime (342060011).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57150 + ... + 62850.

Almost surely, 2342060000 is an apocalyptic number.

342060000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561111012).

342060000 is an abundant number, since it is smaller than the sum of its proper divisors (780162024).

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

342060000 is an equidigital number, since it uses as much as digits as its factorization.

342060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 342060000 is about 18494.8641519747. The cubic root of 342060000 is about 699.3599591785.

The spelling of 342060000 in words is "three hundred forty-two million, sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 5701 6000 7500 10000 11402 12000 15000 17103 20000 22804 28505 30000 34206 45608 57010 60000 68412 85515 91216 114020 136824 142525 171030 182432 228040 273648 285050 342060 427575 456080 547296 570100 684120 712625 855150 912160 1140200 1368240 1425250 1710300 2137875 2280400 2736480 2850500 3420600 3563125 4275750 4560800 5701000 6841200 7126250 8551500 10689375 11402000 13682400 14252500 17103000 21378750 22804000 28505000 34206000 42757500 57010000 68412000 85515000 114020000 171030000 342060000