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34437940 = 2254633719
BaseRepresentation
bin1000001101011…
…1101100110100
32101210121222021
42003113230310
532304003230
63230042524
7565501105
oct203275464
971717867
1034437940
1118491809
12b649444
137199ca4
1448063ac
153053c7a
hex20d7b34

34437940 has 24 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 13741728.

The previous prime is 34437913. The next prime is 34437941. The reversal of 34437940 is 4973443.

34437940 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 2×344379402 = 2371943422887200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34437896 and 34437905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34437941) 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 7 ways as a sum of consecutive naturals, for example, 7401 + ... + 11119.

It is an arithmetic number, because the mean of its divisors is an integer number (3020640).

Almost surely, 234437940 is an apocalyptic number.

It is an amenable number.

34437940 is an abundant number, since it is smaller than the sum of its proper divisors (38057420).

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

34437940 is a wasteful number, since it uses less digits than its factorization.

34437940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 34437940 is about 5868.3847862934. The cubic root of 34437940 is about 325.3461873262.

The spelling of 34437940 in words is "thirty-four million, four hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 463 926 1852 2315 3719 4630 7438 9260 14876 18595 37190 74380 1721897 3443794 6887588 8609485 17218970 34437940