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340142000 = 24531115461
BaseRepresentation
bin10100010001100…
…010011110110000
3212201001000002212
4110101202132300
51144034021000
653430231252
711300105432
oct2421423660
9781030085
10340142000
111650017a0
1295ab5528
1355614173
1433262652
151ecdcc35
hex144627b0

340142000 has 80 divisors (see below), whose sum is σ = 897290784. Its totient is φ = 123680000.

The previous prime is 340141981. The next prime is 340142003. The reversal of 340142000 is 241043.

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

It is not an unprimeable number, because it can be changed into a prime (340142003) 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, 14270 + ... + 29730.

Almost surely, 2340142000 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 340142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448645392).

340142000 is an abundant number, since it is smaller than the sum of its proper divisors (557148784).

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

340142000 is a wasteful number, since it uses less digits than its factorization.

340142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15495 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 340142000 is about 18442.9390282569. The cubic root of 340142000 is about 698.0503572014.

Adding to 340142000 its reverse (241043), we get a palindrome (340383043).

The spelling of 340142000 in words is "three hundred forty million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 15461 22000 30922 61844 77305 123688 154610 170071 247376 309220 340142 386525 618440 680284 773050 850355 1236880 1360568 1546100 1700710 1932625 2721136 3092200 3401420 3865250 4251775 6184400 6802840 7730500 8503550 13605680 15461000 17007100 21258875 30922000 34014200 42517750 68028400 85035500 170071000 340142000