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1293444 = 2232193161
BaseRepresentation
bin100111011110010000100
32102201021100
410323302010
5312342234
643420100
713664655
oct4736204
92381240
101293444
11803869
12524630
13363969
1425952c
151a8399
hex13bc84

1293444 has 72 divisors (see below), whose sum is σ = 3610880. Its totient is φ = 388800.

The previous prime is 1293433. The next prime is 1293473. The reversal of 1293444 is 4443921.

It is a super-2 number, since 2×12934442 = 3345994762272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21174 + ... + 21234.

21293444 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 1293444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805440).

1293444 is an abundant number, since it is smaller than the sum of its proper divisors (2317436).

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

1293444 is a wasteful number, since it uses less digits than its factorization.

1293444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 116 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1293444 is about 1137.2967950364. The cubic root of 1293444 is about 108.9555130861.

The spelling of 1293444 in words is "one million, two hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 61 62 76 93 114 122 124 171 183 186 228 244 279 342 366 372 549 558 589 684 732 1098 1116 1159 1178 1767 1891 2196 2318 2356 3477 3534 3782 4636 5301 5673 6954 7068 7564 10431 10602 11346 13908 17019 20862 21204 22692 34038 35929 41724 68076 71858 107787 143716 215574 323361 431148 646722 1293444