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34743920 = 2451759433
BaseRepresentation
bin1000010010001…
…0011001110000
32102101011200212
42010202121300
532343301140
63240403252
7601214141
oct204423160
972334625
1034743920
1118680692
12b776528
137276343
144885ac8
1530b4765
hex2122670

34743920 has 80 divisors (see below), whose sum is σ = 87181920. Its totient is φ = 12828672.

The previous prime is 34743911. The next prime is 34743923. The reversal of 34743920 is 2934743.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34743923) 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, 80024 + ... + 80456.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 234743920 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 34743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43590960).

34743920 is an abundant number, since it is smaller than the sum of its proper divisors (52438000).

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

34743920 is a wasteful number, since it uses less digits than its factorization.

34743920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 34743920 is about 5894.3973398474. The cubic root of 34743920 is about 326.3069110898.

The spelling of 34743920 in words is "thirty-four million, seven hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 118 136 170 236 272 295 340 433 472 590 680 866 944 1003 1180 1360 1732 2006 2165 2360 3464 4012 4330 4720 5015 6928 7361 8024 8660 10030 14722 16048 17320 20060 25547 29444 34640 36805 40120 51094 58888 73610 80240 102188 117776 127735 147220 204376 255470 294440 408752 434299 510940 588880 868598 1021880 1737196 2043760 2171495 3474392 4342990 6948784 8685980 17371960 34743920