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1349392 = 241121741
BaseRepresentation
bin101001001011100010000
32112120000111
411021130100
5321140032
644531104
714320042
oct5113420
92476014
101349392
11841900
12550a94
13383275
14271a92
151b9c47
hex149710

1349392 has 60 divisors (see below), whose sum is σ = 3116988. Its totient is φ = 563200.

The previous prime is 1349371. The next prime is 1349393. The reversal of 1349392 is 2939431.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 853776 = 704^2 + 924^2 .

It is a super-3 number, since 3×13493923 = 7371156770743332864, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1349393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32892 + ... + 32932.

21349392 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 1349392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558494).

1349392 is an abundant number, since it is smaller than the sum of its proper divisors (1767596).

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

1349392 is a wasteful number, since it uses less digits than its factorization.

1349392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 1349392 is about 1161.6333328551. The cubic root of 1349392 is about 110.5043506815.

The spelling of 1349392 in words is "one million, three hundred forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 34 41 44 68 82 88 121 136 164 176 187 242 272 328 374 451 484 656 697 748 902 968 1394 1496 1804 1936 2057 2788 2992 3608 4114 4961 5576 7216 7667 8228 9922 11152 15334 16456 19844 30668 32912 39688 61336 79376 84337 122672 168674 337348 674696 1349392