Search a number
-
+
3331952 = 241383193
BaseRepresentation
bin1100101101011101110000
320021021120122
430231131300
51323110302
6155225412
740215101
oct14553560
96237518
103331952
111976388
121148268
138c8790
1462a3a8
1545c3a2
hex32d770

3331952 has 40 divisors (see below), whose sum is σ = 7072464. Its totient is φ = 1511424.

The previous prime is 3331943. The next prime is 3331957. The reversal of 3331952 is 2591333.

It is a super-2 number, since 2×33319522 = 22203808260608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17168 + ... + 17360.

Almost surely, 23331952 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 3331952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536232).

3331952 is an abundant number, since it is smaller than the sum of its proper divisors (3740512).

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

3331952 is a wasteful number, since it uses less digits than its factorization.

3331952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its digits is 2430, while the sum is 26.

The square root of 3331952 is about 1825.3635254382. The cubic root of 3331952 is about 149.3595209884.

The spelling of 3331952 in words is "three million, three hundred thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 193 208 332 386 664 772 1079 1328 1544 2158 2509 3088 4316 5018 8632 10036 16019 17264 20072 32038 40144 64076 128152 208247 256304 416494 832988 1665976 3331952