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3952368 = 243371307
BaseRepresentation
bin1111000100111011110000
321102210122000
433010323300
52002433433
6220414000
745410640
oct17047360
97383560
103952368
11225a522
1213a7300
13a84ca4
1474c520
15531113
hex3c4ef0

3952368 has 80 divisors (see below), whose sum is σ = 12975360. Its totient is φ = 1128384.

The previous prime is 3952337. The next prime is 3952387. The reversal of 3952368 is 8632593.

3952368 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2371 + ... + 3677.

It is an arithmetic number, because the mean of its divisors is an integer number (162192).

Almost surely, 23952368 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 3952368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487680).

3952368 is an abundant number, since it is smaller than the sum of its proper divisors (9022992).

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

3952368 is a wasteful number, since it uses less digits than its factorization.

3952368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3952368 is about 1988.0563372299. The cubic root of 3952368 is about 158.1074950809.

The spelling of 3952368 in words is "three million, nine hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1307 1512 2614 3024 3921 5228 7842 9149 10456 11763 15684 18298 20912 23526 27447 31368 35289 36596 47052 54894 62736 70578 73192 82341 94104 109788 141156 146384 164682 188208 219576 247023 282312 329364 439152 494046 564624 658728 988092 1317456 1976184 3952368