Search a number
-
+
3948352 = 261719191
BaseRepresentation
bin1111000011111101000000
321102121010021
433003331000
52002321402
6220343224
745363142
oct17037500
97377107
103948352
112257501
1213a4b14
13a83205
1474ac92
1552ed37
hex3c3f40

3948352 has 56 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 1751040.

The previous prime is 3948317. The next prime is 3948353. The reversal of 3948352 is 2538493.

It is a happy number.

3948352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948353) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20577 + ... + 20767.

Almost surely, 23948352 is an apocalyptic number.

3948352 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 3948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

3948352 is an abundant number, since it is smaller than the sum of its proper divisors (4829888).

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

3948352 is a wasteful number, since it uses less digits than its factorization.

3948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 3948352 is about 1987.0460487870. The cubic root of 3948352 is about 158.0539259393.

The spelling of 3948352 in words is "three million, nine hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 191 272 304 323 382 544 608 646 764 1088 1216 1292 1528 2584 3056 3247 3629 5168 6112 6494 7258 10336 12224 12988 14516 20672 25976 29032 51952 58064 61693 103904 116128 123386 207808 232256 246772 493544 987088 1974176 3948352