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3940224 = 27331331
BaseRepresentation
bin1111000001111110000000
321102011222020
433001332000
52002041344
6220241440
745330351
oct17017600
97364866
103940224
112251392
1213a0280
13a7c5c2
14747d28
1552c719
hex3c1f80

3940224 has 64 divisors (see below), whose sum is σ = 10836480. Its totient is φ = 1267200.

The previous prime is 3940217. The next prime is 3940231. The reversal of 3940224 is 4220493.

It is a happy number.

It is a Cunningham number, because it is equal to 19852-1.

It is an interprime number because it is at equal distance from previous prime (3940217) and next prime (3940231).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a cake number, because a cake can be divided into 3940224 parts by 287 planar cuts.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3940194 and 3940203.

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, 11739 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (169320).

Almost surely, 23940224 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 3940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418240).

3940224 is an abundant number, since it is smaller than the sum of its proper divisors (6896256).

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

3940224 is a wasteful number, since it uses less digits than its factorization.

3940224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3940224 is about 1984.9997481108. Note that the first 3 decimals coincide. The cubic root of 3940224 is about 157.9453958618.

The spelling of 3940224 in words is "three million, nine hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 331 372 384 496 662 744 992 993 1324 1488 1984 1986 2648 2976 3968 3972 5296 5952 7944 10261 10592 11904 15888 20522 21184 30783 31776 41044 42368 61566 63552 82088 123132 127104 164176 246264 328352 492528 656704 985056 1313408 1970112 3940224