Search a number
-
+
3238368 = 25376179
BaseRepresentation
bin1100010110100111100000
320002112012120
430112213200
51312111433
6153224240
736345210
oct14264740
96075176
103238368
111912041
121102080
13894cc3
14604240
1543e7b3
hex3169e0

3238368 has 96 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 898560.

The previous prime is 3238357. The next prime is 3238393. The reversal of 3238368 is 8638323.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40953 + ... + 41031.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 23238368 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 3238368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3238368 is an abundant number, since it is smaller than the sum of its proper divisors (6760992).

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

3238368 is a wasteful number, since it uses less digits than its factorization.

3238368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3238368 is about 1799.5466095659. The cubic root of 3238368 is about 147.9478754841.

The spelling of 3238368 in words is "three million, two hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 79 84 96 112 122 158 168 183 224 237 244 316 336 366 427 474 488 553 632 672 732 854 948 976 1106 1264 1281 1464 1659 1708 1896 1952 2212 2528 2562 2928 3318 3416 3792 4424 4819 5124 5856 6636 6832 7584 8848 9638 10248 13272 13664 14457 17696 19276 20496 26544 28914 33733 38552 40992 53088 57828 67466 77104 101199 115656 134932 154208 202398 231312 269864 404796 462624 539728 809592 1079456 1619184 3238368