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34430440 = 23511174603
BaseRepresentation
bin1000001101010…
…1110111101000
32101210020200111
42003111313220
532303233230
63225544104
7565440202
oct203256750
971706614
1034430440
1118487110
12b645034
137196755
144803772
15305192a
hex20d5de8

34430440 has 64 divisors (see below), whose sum is σ = 89501760. Its totient is φ = 11781120.

The previous prime is 34430419. The next prime is 34430449. The reversal of 34430440 is 4403443.

It is a happy number.

34430440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34430449) by changing a digit.

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, 5179 + ... + 9781.

It is an arithmetic number, because the mean of its divisors is an integer number (1398465).

Almost surely, 234430440 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 34430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44750880).

34430440 is an abundant number, since it is smaller than the sum of its proper divisors (55071320).

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

34430440 is a wasteful number, since it uses less digits than its factorization.

34430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34430440 is about 5867.7457340958. The cubic root of 34430440 is about 325.3225673152.

Adding to 34430440 its reverse (4403443), we get a palindrome (38833883).

The spelling of 34430440 in words is "thirty-four million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 4603 7480 9206 18412 23015 36824 46030 50633 78251 92060 101266 156502 184120 202532 253165 313004 391255 405064 506330 626008 782510 860761 1012660 1565020 1721522 2025320 3130040 3443044 4303805 6886088 8607610 17215220 34430440