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3722796 = 22327111779
BaseRepresentation
bin1110001100111000101100
321000010201100
432030320230
51423112141
6211443100
743433430
oct16147054
97003640
103722796
112112aa0
1212b6490
13a0464c
146cc9c0
154d80b6
hex38ce2c

3722796 has 144 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 898560.

The previous prime is 3722791. The next prime is 3722801. The reversal of 3722796 is 6972273.

3722796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3722791) and next prime (3722801).

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 313 + 72 + 27 + 221 + 75 + 94 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 3722796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47085 + ... + 47163.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

Almost surely, 23722796 is an apocalyptic number.

3722796 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 3722796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3722796 is an abundant number, since it is smaller than the sum of its proper divisors (8857044).

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

3722796 is a wasteful number, since it uses less digits than its factorization.

3722796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3722796 is about 1929.4548452866. The cubic root of 3722796 is about 154.9850280370.

The spelling of 3722796 in words is "three million, seven hundred twenty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 79 84 99 102 119 126 132 153 154 158 187 198 204 231 237 238 252 306 308 316 357 374 396 462 474 476 553 561 612 693 711 714 748 869 924 948 1071 1106 1122 1309 1343 1386 1422 1428 1659 1683 1738 2142 2212 2244 2607 2618 2686 2772 2844 3318 3366 3476 3927 4029 4284 4977 5214 5236 5372 6083 6636 6732 7821 7854 8058 9401 9954 10428 11781 12087 12166 14773 15642 15708 16116 18249 18802 19908 23562 24174 24332 28203 29546 31284 36498 37604 44319 47124 48348 54747 56406 59092 72996 84609 88638 103411 109494 112812 132957 169218 177276 206822 218988 265914 310233 338436 413644 531828 620466 930699 1240932 1861398 3722796