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342242000 = 2453211811
BaseRepresentation
bin10100011001100…
…011001011010000
3212211222200202122
4110121203023100
51200103221000
653543233412
711324003042
oct2431431320
9784880678
10342242000
11166206531
1296748868
1355b9ac79
143364ba92
15200a5085
hex146632d0

342242000 has 80 divisors (see below), whose sum is σ = 832488384. Its totient is φ = 136080000.

The previous prime is 342241997. The next prime is 342242009. The reversal of 342242000 is 242243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 342242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342242009) 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, 421595 + ... + 422405.

Almost surely, 2342242000 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 342242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416244192).

342242000 is an abundant number, since it is smaller than the sum of its proper divisors (490246384).

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

342242000 is a wasteful number, since it uses less digits than its factorization.

342242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 342242000 is about 18499.7837825203. The cubic root of 342242000 is about 699.4839734301.

Adding to 342242000 its reverse (242243), we get a palindrome (342484243).

The spelling of 342242000 in words is "three hundred forty-two million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 811 844 1000 1055 1622 1688 2000 2110 3244 3376 4055 4220 5275 6488 8110 8440 10550 12976 16220 16880 20275 21100 26375 32440 40550 42200 52750 64880 81100 84400 101375 105500 162200 171121 202750 211000 324400 342242 405500 422000 684484 811000 855605 1368968 1622000 1711210 2737936 3422420 4278025 6844840 8556050 13689680 17112100 21390125 34224200 42780250 68448400 85560500 171121000 342242000