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34229140 = 22511157991
BaseRepresentation
bin1000001010010…
…0101110010100
32101102000112221
42002210232110
532230313030
63221352124
7563641261
oct202445624
971360487
1034229140
1118359950
12b568644
137125c3a
144790268
153011e7a
hex20a4b94

34229140 has 48 divisors (see below), whose sum is σ = 78994944. Its totient is φ = 12355200.

The previous prime is 34229131. The next prime is 34229141. The reversal of 34229140 is 4192243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34229141) 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, 34045 + ... + 35035.

It is an arithmetic number, because the mean of its divisors is an integer number (1645728).

Almost surely, 234229140 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 34229140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497472).

34229140 is an abundant number, since it is smaller than the sum of its proper divisors (44765804).

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

34229140 is a wasteful number, since it uses less digits than its factorization.

34229140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34229140 is about 5850.5674938419. The cubic root of 34229140 is about 324.6873205723.

It can be divided in two parts, 342 and 29140, that multiplied together give a triangular number (9965880 = T4464).

The spelling of 34229140 in words is "thirty-four million, two hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 991 1570 1727 1982 3140 3454 3964 4955 6908 8635 9910 10901 17270 19820 21802 34540 43604 54505 109010 155587 218020 311174 622348 777935 1555870 1711457 3111740 3422914 6845828 8557285 17114570 34229140