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20342000 = 245371453
BaseRepresentation
bin100110110011…
…0010011110000
31102021110222102
41031212103300
520201421000
62003555532
7334622060
oct115462360
942243872
1020342000
1110534278
12698bba8
1342a2cb3
1429b73a0
151bbc3d5
hex13664f0

20342000 has 80 divisors (see below), whose sum is σ = 56252352. Its totient is φ = 6969600.

The previous prime is 20341999. The next prime is 20342009. The reversal of 20342000 is 24302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20342009) 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, 13274 + ... + 14726.

Almost surely, 220342000 is an apocalyptic number.

20342000 is a gapful number since it is divisible by the number (20) 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 20342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28126176).

20342000 is an abundant number, since it is smaller than the sum of its proper divisors (35910352).

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

20342000 is a wasteful number, since it uses less digits than its factorization.

20342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20342000 is about 4510.2106380966. The cubic root of 20342000 is about 272.9802433967.

Adding to 20342000 its reverse (24302), we get a palindrome (20366302).

The spelling of 20342000 in words is "twenty million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1453 1750 2000 2800 2906 3500 5812 7000 7265 10171 11624 14000 14530 20342 23248 29060 36325 40684 50855 58120 72650 81368 101710 116240 145300 162736 181625 203420 254275 290600 363250 406840 508550 581200 726500 813680 1017100 1271375 1453000 2034200 2542750 2906000 4068400 5085500 10171000 20342000