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3245952 = 27379107
BaseRepresentation
bin1100011000011110000000
320002220121110
430120132000
51312332302
6153323320
736406263
oct14303600
96086543
103245952
111917806
121106540
138985a8
14606cda
15441b6c
hex318780

3245952 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1058304.

The previous prime is 3245951. The next prime is 3245959. The reversal of 3245952 is 2595423.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245951) 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, 30283 + ... + 30389.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 23245952 is an apocalyptic number.

3245952 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 3245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3245952 is an abundant number, since it is smaller than the sum of its proper divisors (5566848).

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

3245952 is a wasteful number, since it uses less digits than its factorization.

3245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 3245952 is about 1801.6525747213. The cubic root of 3245952 is about 148.0632794899.

The spelling of 3245952 in words is "three million, two hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 107 128 158 192 214 237 316 321 384 428 474 632 642 856 948 1264 1284 1712 1896 2528 2568 3424 3792 5056 5136 6848 7584 8453 10112 10272 13696 15168 16906 20544 25359 30336 33812 41088 50718 67624 101436 135248 202872 270496 405744 540992 811488 1081984 1622976 3245952