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34013140 = 22571271913
BaseRepresentation
bin1000000110111…
…1111111010100
32101000001020221
42001233333110
532201410030
63213004124
7562051450
oct201577724
971001227
1034013140
1118221637
12b483644
13707b825
144735660
152ebce7a
hex206ffd4

34013140 has 48 divisors (see below), whose sum is σ = 82317312. Its totient is φ = 11563776.

The previous prime is 34013131. The next prime is 34013171. The reversal of 34013140 is 4131043.

It is a congruent number.

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, 16824 + ... + 18736.

It is an arithmetic number, because the mean of its divisors is an integer number (1714944).

Almost surely, 234013140 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 34013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41158656).

34013140 is an abundant number, since it is smaller than the sum of its proper divisors (48304172).

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

34013140 is a wasteful number, since it uses less digits than its factorization.

34013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2054 counting only the distinct ones).

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

The square root of 34013140 is about 5832.0785317072. The cubic root of 34013140 is about 324.0029085752.

Adding to 34013140 its reverse (4131043), we get a palindrome (38144183).

The spelling of 34013140 in words is "thirty-four million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 1913 2540 3556 3826 4445 7652 8890 9565 13391 17780 19130 26782 38260 53564 66955 133910 242951 267820 485902 971804 1214755 1700657 2429510 3401314 4859020 6802628 8503285 17006570 34013140