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34232940 = 223257101269
BaseRepresentation
bin1000001010010…
…1101001101100
32101102012202200
42002211221230
532230423230
63221421500
7563655330
oct202455154
971365680
1034232940
1118361795
12b56a890
1371278a1
1447917c0
153013160
hex20a5a6c

34232940 has 144 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 7718400.

The previous prime is 34232929. The next prime is 34232941. The reversal of 34232940 is 4923243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34232941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127126 + ... + 127394.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 234232940 is an apocalyptic number.

34232940 is a gapful number since it is divisible by the number (30) 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 34232940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

34232940 is an abundant number, since it is smaller than the sum of its proper divisors (86061780).

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

34232940 is a wasteful number, since it uses less digits than its factorization.

34232940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34232940 is about 5850.8922396503. The cubic root of 34232940 is about 324.6993353465.

The spelling of 34232940 in words is "thirty-four million, two hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 269 303 315 404 420 505 538 606 630 707 807 909 1010 1076 1212 1260 1345 1414 1515 1614 1818 1883 2020 2121 2421 2690 2828 3030 3228 3535 3636 3766 4035 4242 4545 4842 5380 5649 6060 6363 7070 7532 8070 8484 9090 9415 9684 10605 11298 12105 12726 14140 16140 16947 18180 18830 21210 22596 24210 25452 27169 28245 31815 33894 37660 42420 48420 54338 56490 63630 67788 81507 84735 108676 112980 127260 135845 163014 169470 190183 244521 271690 326028 338940 380366 407535 489042 543380 570549 760732 815070 950915 978084 1141098 1222605 1630140 1711647 1901830 2282196 2445210 2852745 3423294 3803660 4890420 5705490 6846588 8558235 11410980 17116470 34232940