Search a number
-
+
3381696 = 263319103
BaseRepresentation
bin1100111001100111000000
320100210211000
430321213000
51331203241
6200252000
740513113
oct14714700
96323730
103381696
1119aa79a
121171000
13915306
1464057a
1546beb6
hex3399c0

3381696 has 112 divisors (see below), whose sum is σ = 10566400. Its totient is φ = 1057536.

The previous prime is 3381683. The next prime is 3381701. The reversal of 3381696 is 6961833.

It is a happy number.

It is a super-2 number, since 2×33816962 = 22871735672832, which contains 22 as substring.

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

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

It is a d-powerful number, because it can be written as 37 + 39 + 83 + 1 + 68 + 92 + 68 .

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3381696.

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, 32781 + ... + 32883.

Almost surely, 23381696 is an apocalyptic number.

3381696 is a gapful number since it is divisible by the number (36) 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 3381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283200).

3381696 is an abundant number, since it is smaller than the sum of its proper divisors (7184704).

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

3381696 is a wasteful number, since it uses less digits than its factorization.

3381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3381696 is about 1838.9388244311. The cubic root of 3381696 is about 150.0991344679.

The spelling of 3381696 in words is "three million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 103 108 114 144 152 171 192 206 216 228 288 304 309 342 412 432 456 513 576 608 618 684 824 864 912 927 1026 1216 1236 1368 1648 1728 1824 1854 1957 2052 2472 2736 2781 3296 3648 3708 3914 4104 4944 5472 5562 5871 6592 7416 7828 8208 9888 10944 11124 11742 14832 15656 16416 17613 19776 22248 23484 29664 31312 32832 35226 44496 46968 52839 59328 62624 70452 88992 93936 105678 125248 140904 177984 187872 211356 281808 375744 422712 563616 845424 1127232 1690848 3381696