Search a number
-
+
34373820 = 223513127347
BaseRepresentation
bin1000001100100…
…0000010111100
32101200101000110
42003020002330
532244430240
63224430020
7565113135
oct203100274
971611013
1034373820
1118448618
12b618310
137176a50
1447cac8c
15303ec80
hex20c80bc

34373820 has 96 divisors (see below), whose sum is σ = 104767488. Its totient is φ = 8370432.

The previous prime is 34373819. The next prime is 34373827. The reversal of 34373820 is 2837343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34373827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98887 + ... + 99233.

It is an arithmetic number, because the mean of its divisors is an integer number (1091328).

Almost surely, 234373820 is an apocalyptic number.

34373820 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 34373820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52383744).

34373820 is an abundant number, since it is smaller than the sum of its proper divisors (70393668).

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

34373820 is a wasteful number, since it uses less digits than its factorization.

34373820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 34373820 is about 5862.9190681776. The cubic root of 34373820 is about 325.1441411905.

The spelling of 34373820 in words is "thirty-four million, three hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 347 381 390 508 635 694 762 780 1041 1270 1388 1524 1651 1735 1905 2082 2540 3302 3470 3810 4164 4511 4953 5205 6604 6940 7620 8255 9022 9906 10410 13533 16510 18044 19812 20820 22555 24765 27066 33020 44069 45110 49530 54132 67665 88138 90220 99060 132207 135330 176276 220345 264414 270660 440690 528828 572897 661035 881380 1145794 1322070 1718691 2291588 2644140 2864485 3437382 5728970 6874764 8593455 11457940 17186910 34373820