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242034030 = 23257271773
BaseRepresentation
bin11100110110100…
…10010101101110
3121212102121021100
432123102111232
5443430042110
640003343530
75666153400
oct1633222556
9555377240
10242034030
11114692827
1269081ba6
133b1b3904
1424204b70
15163adbc0
hexe6d256e

242034030 has 144 divisors (see below), whose sum is σ = 743300064. Its totient is φ = 54472320.

The previous prime is 242034007. The next prime is 242034041. The reversal of 242034030 is 30430242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242033994 and 242034012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312724 + ... + 313496.

It is an arithmetic number, because the mean of its divisors is an integer number (5161806).

Almost surely, 2242034030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242034030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371650032).

242034030 is an abundant number, since it is smaller than the sum of its proper divisors (501266034).

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

242034030 is a wasteful number, since it uses less digits than its factorization.

242034030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 242034030 is about 15557.4429132811. The cubic root of 242034030 is about 623.1971769935.

Adding to 242034030 its reverse (30430242), we get a palindrome (272464272).

The spelling of 242034030 in words is "two hundred forty-two million, thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 71 90 98 105 126 142 147 210 213 245 294 315 355 426 441 490 497 630 639 710 735 773 882 994 1065 1278 1470 1491 1546 2130 2205 2319 2485 2982 3195 3479 3865 4410 4473 4638 4970 5411 6390 6957 6958 7455 7730 8946 10437 10822 11595 13914 14910 16233 17395 20874 22365 23190 27055 31311 32466 34785 34790 37877 44730 48699 52185 54110 54883 62622 69570 75754 81165 97398 104370 109766 113631 156555 162330 164649 189385 227262 243495 274415 313110 329298 340893 378770 384181 486990 493947 548830 568155 681786 768362 823245 987894 1136310 1152543 1646490 1704465 1920905 2305086 2469735 2689267 3408930 3457629 3841810 4939470 5378534 5762715 6915258 8067801 11525430 13446335 16135602 17288145 24203403 26892670 34576290 40339005 48406806 80678010 121017015 242034030