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6374640 = 243526561
BaseRepresentation
bin11000010100010011110000
3102222212100210
4120110103300
53112442030
6344344120
7105116646
oct30242360
912885323
106374640
1136643a8
122175040
13142269c
14bbd196
1585dbb0
hex6144f0

6374640 has 40 divisors (see below), whose sum is σ = 19762128. Its totient is φ = 1699840.

The previous prime is 6374573. The next prime is 6374651. The reversal of 6374640 is 464736.

6374640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 62 + 37 + 78 + 48 + 67 + 49 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 6374598 and 6374607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13041 + ... + 13520.

Almost surely, 26374640 is an apocalyptic number.

6374640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6374640 is an abundant number, since it is smaller than the sum of its proper divisors (13387488).

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

6374640 is a wasteful number, since it uses less digits than its factorization.

6374640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26577 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 6374640 is about 2524.8049429609. The cubic root of 6374640 is about 185.4179981108.

The spelling of 6374640 in words is "six million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 26561 53122 79683 106244 132805 159366 212488 265610 318732 398415 424976 531220 637464 796830 1062440 1274928 1593660 2124880 3187320 6374640