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34334440 = 2357472609
BaseRepresentation
bin1000001011111…
…0011011101000
32101121100222221
42002332123220
532242200230
63223523424
7564560260
oct202763350
971540887
1034334440
1118420a78
12b5b9574
137161b4a
1447ba7a0
15303327a
hex20be6e8

34334440 has 64 divisors (see below), whose sum is σ = 90201600. Its totient is φ = 11516928.

The previous prime is 34334437. The next prime is 34334459. The reversal of 34334440 is 4443343.

It is a happy number.

34334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343344402 = 2357707540227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11856 + ... + 14464.

It is an arithmetic number, because the mean of its divisors is an integer number (1409400).

Almost surely, 234334440 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 34334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45100800).

34334440 is an abundant number, since it is smaller than the sum of its proper divisors (55867160).

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

34334440 is a wasteful number, since it uses less digits than its factorization.

34334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 34334440 is about 5859.5597104219. The cubic root of 34334440 is about 325.0199277722.

Adding to 34334440 its reverse (4443343), we get a palindrome (38777783).

The spelling of 34334440 in words is "thirty-four million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2609 2632 3290 5218 6580 10436 13045 13160 18263 20872 26090 36526 52180 73052 91315 104360 122623 146104 182630 245246 365260 490492 613115 730520 858361 980984 1226230 1716722 2452460 3433444 4291805 4904920 6866888 8583610 17167220 34334440