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34102340 = 22517195279
BaseRepresentation
bin1000001000010…
…1110001000100
32101011120121122
42002011301010
532212233330
63214533112
7562602506
oct202056104
971146548
1034102340
1118282658
12b507198
1370b02cc
144759d76
152ed95e5
hex2085c44

34102340 has 48 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 12160512.

The previous prime is 34102339. The next prime is 34102361. The reversal of 34102340 is 4320143.

34102340 = T267 + T268 + ... + T606.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3821 + ... + 9099.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 234102340 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 34102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

34102340 is an abundant number, since it is smaller than the sum of its proper divisors (45731260).

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

34102340 is a wasteful number, since it uses less digits than its factorization.

34102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34102340 is about 5839.7208837409. The cubic root of 34102340 is about 324.2858955982.

Adding to 34102340 its reverse (4320143), we get a palindrome (38422483).

The spelling of 34102340 in words is "thirty-four million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 5279 6460 10558 21116 26395 52790 89743 100301 105580 179486 200602 358972 401204 448715 501505 897430 1003010 1705117 1794860 2006020 3410234 6820468 8525585 17051170 34102340