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34342140 = 22357211681
BaseRepresentation
bin1000001100000…
…0010011111100
32101121202120010
42003000103330
532242422030
63224023220
7564621600
oct203002374
971552503
1034342140
1118426838
12b601b10
1371654c1
1447bd500
1530356b0
hex20c04fc

34342140 has 72 divisors (see below), whose sum is σ = 111866832. Its totient is φ = 7848960.

The previous prime is 34342129. The next prime is 34342153. The reversal of 34342140 is 4124343.

34342140 = 782 + 792 + ... + 4692.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2901 + ... + 8780.

It is an arithmetic number, because the mean of its divisors is an integer number (1553706).

Almost surely, 234342140 is an apocalyptic number.

34342140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34342140 is an abundant number, since it is smaller than the sum of its proper divisors (77524692).

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

34342140 is a wasteful number, since it uses less digits than its factorization.

34342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11707 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34342140 is about 5860.2167195420. The cubic root of 34342140 is about 325.0442227792.

Adding to 34342140 its reverse (4124343), we get a palindrome (38466483).

The spelling of 34342140 in words is "thirty-four million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 11681 23362 35043 46724 58405 70086 81767 116810 140172 163534 175215 233620 245301 327068 350430 408835 490602 572369 700860 817670 981204 1144738 1226505 1635340 1717107 2289476 2453010 2861845 3434214 4906020 5723690 6868428 8585535 11447380 17171070 34342140