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34293140 = 225734999
BaseRepresentation
bin1000001011010…
…0010110010100
32101112021100022
42002310112110
532234340030
63223004312
7564326000
oct202642624
971467308
1034293140
11183a2a42
12b599698
1371490cb
1447a9700
153025de5
hex20b4594

34293140 has 48 divisors (see below), whose sum is σ = 84000000. Its totient is φ = 11755296.

The previous prime is 34293121. The next prime is 34293143. The reversal of 34293140 is 4139243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34293143) 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, 4361 + ... + 9359.

It is an arithmetic number, because the mean of its divisors is an integer number (1750000).

Almost surely, 234293140 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 34293140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42000000).

34293140 is an abundant number, since it is smaller than the sum of its proper divisors (49706860).

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

34293140 is a wasteful number, since it uses less digits than its factorization.

34293140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34293140 is about 5856.0344944339. The cubic root of 34293140 is about 324.8895561608.

The spelling of 34293140 in words is "thirty-four million, two hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 4999 6860 9998 19996 24995 34993 49990 69986 99980 139972 174965 244951 349930 489902 699860 979804 1224755 1714657 2449510 3429314 4899020 6858628 8573285 17146570 34293140