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34132340 = 22511473301
BaseRepresentation
bin1000001000110…
…1000101110100
32101020002202202
42002031011310
532214213330
63215324032
7563056124
oct202150564
971202682
1034132340
11182a3150
12b520618
1370c0b68
144766c84
152ee3445
hex208d174

34132340 has 48 divisors (see below), whose sum is σ = 79881984. Its totient is φ = 12144000.

The previous prime is 34132321. The next prime is 34132349. The reversal of 34132340 is 4323143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132349) 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, 8690 + ... + 11990.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 234132340 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 34132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

34132340 is an abundant number, since it is smaller than the sum of its proper divisors (45749644).

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

34132340 is a wasteful number, since it uses less digits than its factorization.

34132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34132340 is about 5842.2889349980. The cubic root of 34132340 is about 324.3809597053.

Adding to 34132340 its reverse (4323143), we get a palindrome (38455483).

The spelling of 34132340 in words is "thirty-four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 3301 5170 6602 10340 13204 16505 33010 36311 66020 72622 145244 155147 181555 310294 363110 620588 726220 775735 1551470 1706617 3102940 3413234 6826468 8533085 17066170 34132340