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34380060 = 223511134007
BaseRepresentation
bin1000001100100…
…1100100011100
32101200200120120
42003021210130
532300130220
63224514540
7565140261
oct203114434
971620516
1034380060
1118452280
12b61ba50
137179840
1447cd268
153041a40
hex20c991c

34380060 has 96 divisors (see below), whose sum is σ = 113121792. Its totient is φ = 7691520.

The previous prime is 34380053. The next prime is 34380107. The reversal of 34380060 is 6008343.

It is a self number, because there is not a number n which added to its sum of digits gives 34380060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6577 + ... + 10583.

It is an arithmetic number, because the mean of its divisors is an integer number (1178352).

Almost surely, 234380060 is an apocalyptic number.

34380060 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 34380060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56560896).

34380060 is an abundant number, since it is smaller than the sum of its proper divisors (78741732).

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

34380060 is a wasteful number, since it uses less digits than its factorization.

34380060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34380060 is about 5863.4512021505. The cubic root of 34380060 is about 325.1638148519.

The spelling of 34380060 in words is "thirty-four million, three hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4007 4290 8014 8580 12021 16028 20035 24042 40070 44077 48084 52091 60105 80140 88154 104182 120210 132231 156273 176308 208364 220385 240420 260455 264462 312546 440770 520910 528924 573001 625092 661155 781365 881540 1041820 1146002 1322310 1562730 1719003 2292004 2644620 2865005 3125460 3438006 5730010 6876012 8595015 11460020 17190030 34380060