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34107540 = 2235619319
BaseRepresentation
bin1000001000011…
…1000010010100
32101011211202020
42002013002110
532212420130
63215013140
7562623615
oct202070224
971154666
1034107540
1118286555
12b50a1b0
1370b279c
14475bc0c
152edae10
hex2087094

34107540 has 48 divisors (see below), whose sum is σ = 97077120. Its totient is φ = 8945280.

The previous prime is 34107511. The next prime is 34107607. The reversal of 34107540 is 4570143.

It is a self number, because there is not a number n which added to its sum of digits gives 34107540.

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, 1000 + ... + 8319.

It is an arithmetic number, because the mean of its divisors is an integer number (2022440).

Almost surely, 234107540 is an apocalyptic number.

34107540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34107540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48538560).

34107540 is an abundant number, since it is smaller than the sum of its proper divisors (62969580).

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

34107540 is a wasteful number, since it uses less digits than its factorization.

34107540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9390 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 34107540 is about 5840.1660935285. The cubic root of 34107540 is about 324.3023773700.

Adding to 34107540 its reverse (4570143), we get a palindrome (38677683).

The spelling of 34107540 in words is "thirty-four million, one hundred seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 9319 18638 27957 37276 46595 55914 93190 111828 139785 186380 279570 559140 568459 1136918 1705377 2273836 2842295 3410754 5684590 6821508 8526885 11369180 17053770 34107540