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1051344 = 243272149
BaseRepresentation
bin100000000101011010000
31222102011200
410000223100
5232120334
634311200
711636100
oct4005320
91872150
101051344
11658988
12428500
132aa6c8
141d5200
1515b799
hex100ad0

1051344 has 90 divisors (see below), whose sum is σ = 3445650. Its totient is φ = 298368.

The previous prime is 1051333. The next prime is 1051373. The reversal of 1051344 is 4431501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 345744 = 840^2 + 588^2 .

It is a super-2 number, since 2×10513442 = 2210648412672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6982 + ... + 7130.

It is an arithmetic number, because the mean of its divisors is an integer number (38285).

21051344 is an apocalyptic number.

1051344 is a gapful number since it is divisible by the number (14) 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 1051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722825).

1051344 is an abundant number, since it is smaller than the sum of its proper divisors (2394306).

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

1051344 is a wasteful number, since it uses less digits than its factorization.

1051344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1051344 is about 1025.3506717216. The cubic root of 1051344 is about 101.6829834363.

Adding to 1051344 its reverse (4431501), we get a palindrome (5482845).

The spelling of 1051344 in words is "one million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 149 168 196 252 294 298 336 392 441 447 504 588 596 784 882 894 1008 1043 1176 1192 1341 1764 1788 2086 2352 2384 2682 3129 3528 3576 4172 5364 6258 7056 7152 7301 8344 9387 10728 12516 14602 16688 18774 21456 21903 25032 29204 37548 43806 50064 58408 65709 75096 87612 116816 131418 150192 175224 262836 350448 525672 1051344