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3802968 = 23321317239
BaseRepresentation
bin1110100000011101011000
321011012200200
432200131120
51433143333
6213302200
744216241
oct16403530
97135620
103802968
112168254
121334960
13a31ca0
1470dcc8
15501c13
hex3a0758

3802968 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1096704.

The previous prime is 3802961. The next prime is 3802969. The reversal of 3802968 is 8692083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15793 + ... + 16031.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 23802968 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 3802968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3802968 is an abundant number, since it is smaller than the sum of its proper divisors (7990632).

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

3802968 is a wasteful number, since it uses less digits than its factorization.

3802968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3802968 is about 1950.1199963079. The cubic root of 3802968 is about 156.0896920115.

The spelling of 3802968 in words is "three million, eight hundred two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 239 306 312 408 442 468 478 612 663 717 884 936 956 1224 1326 1434 1768 1912 1989 2151 2652 2868 3107 3978 4063 4302 5304 5736 6214 7956 8126 8604 9321 12189 12428 15912 16252 17208 18642 24378 24856 27963 32504 36567 37284 48756 52819 55926 73134 74568 97512 105638 111852 146268 158457 211276 223704 292536 316914 422552 475371 633828 950742 1267656 1901484 3802968