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3940352 = 2131337
BaseRepresentation
bin1111000010000000000000
321102012010222
433002000000
52002042402
6220242212
745330623
oct17020000
97365128
103940352
112251499
1213a0368
13a7c690
14747dba
1552c7a2
hex3c2000

3940352 has 56 divisors (see below), whose sum is σ = 8715756. Its totient is φ = 1769472.

The previous prime is 3940351. The next prime is 3940367. The reversal of 3940352 is 2530493.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 4096 = 1984^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3940351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106478 + ... + 106514.

Almost surely, 23940352 is an apocalyptic number.

3940352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357878).

3940352 is an abundant number, since it is smaller than the sum of its proper divisors (4775404).

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

3940352 is an equidigital number, since it uses as much as digits as its factorization.

3940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 3940352 is about 1985.0319896667. The cubic root of 3940352 is about 157.9471061530.

The spelling of 3940352 in words is "three million, nine hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 962 1024 1184 1664 1924 2048 2368 3328 3848 4096 4736 6656 7696 8192 9472 13312 15392 18944 26624 30784 37888 53248 61568 75776 106496 123136 151552 246272 303104 492544 985088 1970176 3940352