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3731364 = 22327131767
BaseRepresentation
bin1110001110111110100100
321000120110200
432032332210
51423400424
6211550500
743500420
oct16167644
97016420
103731364
11211947a
1212bb430
13a08510
146d1b80
154da8c9
hex38efa4

3731364 has 144 divisors (see below), whose sum is σ = 12475008. Its totient is φ = 912384.

The previous prime is 3731341. The next prime is 3731393. The reversal of 3731364 is 4631373.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55659 + ... + 55725.

It is an arithmetic number, because the mean of its divisors is an integer number (86632).

Almost surely, 23731364 is an apocalyptic number.

3731364 is a gapful number since it is divisible by the number (34) 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 3731364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504).

3731364 is an abundant number, since it is smaller than the sum of its proper divisors (8743644).

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

3731364 is a wasteful number, since it uses less digits than its factorization.

3731364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 3731364 is about 1931.6738855200. The cubic root of 3731364 is about 155.1038360775.

Subtracting 3731364 from its reverse (4631373), we obtain a palindrome (900009).

It can be divided in two parts, 3731 and 364, that added together give a triangular number (4095 = T90).

The spelling of 3731364 in words is "three million, seven hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 67 68 78 84 91 102 117 119 126 134 153 156 182 201 204 221 234 238 252 268 273 306 357 364 402 442 468 469 476 546 603 612 663 714 804 819 871 884 938 1071 1092 1139 1206 1326 1407 1428 1547 1638 1742 1876 1989 2142 2278 2412 2613 2652 2814 3094 3276 3417 3484 3978 4221 4284 4556 4641 5226 5628 6097 6188 6834 7839 7956 7973 8442 9282 10251 10452 12194 13668 13923 14807 15678 15946 16884 18291 18564 20502 23919 24388 27846 29614 31356 31892 36582 41004 44421 47838 54873 55692 59228 71757 73164 88842 95676 103649 109746 133263 143514 177684 207298 219492 266526 287028 310947 414596 533052 621894 932841 1243788 1865682 3731364