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34440140 = 22572113311
BaseRepresentation
bin1000001101100…
…0001111001100
32101210201222202
42003120033030
532304041030
63230101032
7565510400
oct203301714
971721882
1034440140
1118493429
12b64a778
13719aca7
144807100
153054745
hex20d83cc

34440140 has 72 divisors (see below), whose sum is σ = 85149792. Its totient is φ = 11665920.

The previous prime is 34440127. The next prime is 34440151. The reversal of 34440140 is 4104443.

It is a super-2 number, since 2×344401402 = 2372246486439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110585 + ... + 110895.

It is an arithmetic number, because the mean of its divisors is an integer number (1182636).

Almost surely, 234440140 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 34440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42574896).

34440140 is an abundant number, since it is smaller than the sum of its proper divisors (50709652).

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

34440140 is a wasteful number, since it uses less digits than its factorization.

34440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34440140 is about 5868.5722284045. The cubic root of 34440140 is about 325.3531152122.

Adding to 34440140 its reverse (4104443), we get a palindrome (38544583).

The spelling of 34440140 in words is "thirty-four million, four hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 113 140 196 226 245 311 452 490 565 622 791 980 1130 1244 1555 1582 2177 2260 3110 3164 3955 4354 5537 6220 7910 8708 10885 11074 15239 15820 21770 22148 27685 30478 35143 43540 55370 60956 70286 76195 110740 140572 152390 175715 246001 304780 351430 492002 702860 984004 1230005 1722007 2460010 3444014 4920020 6888028 8610035 17220070 34440140