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34083780 = 22351075309
BaseRepresentation
bin1000001000000…
…1001111000100
32101010122011020
42002001033010
532211140110
63214311140
7562464423
oct202011704
971118136
1034083780
111826a715
12b4b84b0
1370a4a23
1447532ba
152ed3d70
hex20813c4

34083780 has 48 divisors (see below), whose sum is σ = 96344640. Its totient is φ = 9002368.

The previous prime is 34083761. The next prime is 34083781. The reversal of 34083780 is 8738043.

It is not an unprimeable number, because it can be changed into a prime (34083781) 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, 3766 + ... + 9074.

It is an arithmetic number, because the mean of its divisors is an integer number (2007180).

Almost surely, 234083780 is an apocalyptic number.

34083780 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 34083780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48172320).

34083780 is an abundant number, since it is smaller than the sum of its proper divisors (62260860).

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

34083780 is a wasteful number, since it uses less digits than its factorization.

34083780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 34083780 is about 5838.1315504192. The cubic root of 34083780 is about 324.2270546854.

The spelling of 34083780 in words is "thirty-four million, eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 5309 6420 10618 15927 21236 26545 31854 53090 63708 79635 106180 159270 318540 568063 1136126 1704189 2272252 2840315 3408378 5680630 6816756 8520945 11361260 17041890 34083780