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34011340 = 22511314987
BaseRepresentation
bin1000000110111…
…1100011001100
32100222221210021
42001233203030
532201330330
63212551524
7562043266
oct201574314
970887707
1034011340
1118220250
12b4825a4
13707aa6c
144734b36
152ebc67a
hex206f8cc

34011340 has 48 divisors (see below), whose sum is σ = 80446464. Its totient is φ = 11966400.

The previous prime is 34011337. The next prime is 34011347. The reversal of 34011340 is 4311043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011347) 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, 4327 + ... + 9313.

It is an arithmetic number, because the mean of its divisors is an integer number (1675968).

Almost surely, 234011340 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 34011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40223232).

34011340 is an abundant number, since it is smaller than the sum of its proper divisors (46435124).

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

34011340 is a wasteful number, since it uses less digits than its factorization.

34011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34011340 is about 5831.9242107558. The cubic root of 34011340 is about 323.9971929849.

Adding to 34011340 its reverse (4311043), we get a palindrome (38322383).

The spelling of 34011340 in words is "thirty-four million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 4987 6820 9974 19948 24935 49870 54857 99740 109714 154597 219428 274285 309194 548570 618388 772985 1097140 1545970 1700567 3091940 3401134 6802268 8502835 17005670 34011340