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42034140 = 22375312
BaseRepresentation
bin1010000001011…
…0001111011100
32221002120000000
42200112033130
541230043030
64100534300
71020166341
oct240261734
987076000
1042034140
11217aa965
12120b1390
138929695
1458227c8
153a54860
hex28163dc

42034140 has 144 divisors (see below), whose sum is σ = 136795680. Its totient is φ = 10847520.

The previous prime is 42034129. The next prime is 42034147. The reversal of 42034140 is 4143024.

It is a super-3 number, since 3×420341403 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355925 + ... + 1355955.

It is an arithmetic number, because the mean of its divisors is an integer number (949970).

Almost surely, 242034140 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 42034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397840).

42034140 is an abundant number, since it is smaller than the sum of its proper divisors (94761540).

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

42034140 is an equidigital number, since it uses as much as digits as its factorization.

42034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42034140 is about 6483.3741215512. The cubic root of 42034140 is about 347.6968227504.

Adding to 42034140 its reverse (4143024), we get a palindrome (46177164).

The spelling of 42034140 in words is "forty-two million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 243 270 279 310 324 372 405 465 486 540 558 620 729 810 837 930 961 972 1116 1215 1395 1458 1620 1674 1860 1922 2187 2430 2511 2790 2883 2916 3348 3645 3844 4185 4374 4805 4860 5022 5580 5766 7290 7533 8370 8649 8748 9610 10044 10935 11532 12555 14415 14580 15066 16740 17298 19220 21870 22599 25110 25947 28830 30132 34596 37665 43245 43740 45198 50220 51894 57660 67797 75330 77841 86490 90396 103788 112995 129735 135594 150660 155682 172980 225990 233523 259470 271188 311364 338985 389205 451980 467046 518940 677970 700569 778410 934092 1167615 1355940 1401138 1556820 2101707 2335230 2802276 3502845 4203414 4670460 7005690 8406828 10508535 14011380 21017070 42034140