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34180740 = 223251161283
BaseRepresentation
bin1000001001100…
…0111010000100
32101022120011100
42002120322010
532222240430
63220340100
7563350206
oct202307204
971276140
1034180740
1118326550
12b544630
137109bb9
14477a776
153002960
hex2098e84

34180740 has 144 divisors (see below), whose sum is σ = 115367616. Its totient is φ = 8121600.

The previous prime is 34180739. The next prime is 34180759. The reversal of 34180740 is 4708143.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120639 + ... + 120921.

It is an arithmetic number, because the mean of its divisors is an integer number (801164).

Almost surely, 234180740 is an apocalyptic number.

34180740 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 34180740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57683808).

34180740 is an abundant number, since it is smaller than the sum of its proper divisors (81186876).

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

34180740 is a wasteful number, since it uses less digits than its factorization.

34180740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34180740 is about 5846.4296797276. The cubic root of 34180740 is about 324.5342124401.

Adding to 34180740 its reverse (4708143), we get a palindrome (38888883).

The spelling of 34180740 in words is "thirty-four million, one hundred eighty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 283 305 330 366 396 495 549 566 610 660 671 732 849 915 990 1098 1132 1220 1342 1415 1698 1830 1980 2013 2196 2547 2684 2745 2830 3113 3355 3396 3660 4026 4245 5094 5490 5660 6039 6226 6710 8052 8490 9339 10065 10188 10980 12078 12452 12735 13420 15565 16980 17263 18678 20130 24156 25470 28017 30195 31130 34526 37356 40260 46695 50940 51789 56034 60390 62260 69052 86315 93390 103578 112068 120780 140085 155367 172630 186780 189893 207156 258945 280170 310734 345260 379786 517890 560340 569679 621468 759572 776835 949465 1035780 1139358 1553670 1709037 1898930 2278716 2848395 3107340 3418074 3797860 5696790 6836148 8545185 11393580 17090370 34180740