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1290344 = 231123143
BaseRepresentation
bin100111011000001101000
32102120000112
410323001220
5312242334
643353452
713652636
oct4730150
92376015
101290344
11801500
12522888
13362423
14258356
151a74ce
hex13b068

1290344 has 48 divisors (see below), whose sum is σ = 2808960. Its totient is φ = 554400.

The previous prime is 1290329. The next prime is 1290371. The reversal of 1290344 is 4430921.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29987 + ... + 30029.

It is an arithmetic number, because the mean of its divisors is an integer number (58520).

21290344 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 1290344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404480).

1290344 is an abundant number, since it is smaller than the sum of its proper divisors (1518616).

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

1290344 is a wasteful number, since it uses less digits than its factorization.

1290344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1290344 is about 1135.9330966215. The cubic root of 1290344 is about 108.8683988163.

It can be divided in two parts, 12 and 90344, that multiplied together give a triangular number (1084128 = T1472).

The spelling of 1290344 in words is "one million, two hundred ninety thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 43 44 62 86 88 121 124 172 242 248 341 344 473 484 682 946 968 1333 1364 1892 2666 2728 3751 3784 5203 5332 7502 10406 10664 14663 15004 20812 29326 30008 41624 58652 117304 161293 322586 645172 1290344