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1343332144 = 247113892803
BaseRepresentation
bin101000000010001…
…1001111100110000
310110121201100021101
41100010121330300
510222343112034
6341144134144
745201064150
oct12004317460
93417640241
101343332144
1162a304360
12315a67354
131853ca3bb
14ca5a0760
157cdee514
hex50119f30

1343332144 has 80 divisors (see below), whose sum is σ = 3254434560. Its totient is φ = 521844480.

The previous prime is 1343332103. The next prime is 1343332147. The reversal of 1343332144 is 4412333431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1343332147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477847 + ... + 480649.

It is an arithmetic number, because the mean of its divisors is an integer number (40680432).

Almost surely, 21343332144 is an apocalyptic number.

1343332144 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 1343332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627217280).

1343332144 is an abundant number, since it is smaller than the sum of its proper divisors (1911102416).

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

1343332144 is a wasteful number, since it uses less digits than its factorization.

1343332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3212 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 1343332144 is about 36651.4957948513. The cubic root of 1343332144 is about 1103.3868462122.

Adding to 1343332144 its reverse (4412333431), we get a palindrome (5755665575).

The spelling of 1343332144 in words is "one billion, three hundred forty-three million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 389 616 778 1232 1556 2723 2803 3112 4279 5446 5606 6224 8558 10892 11212 17116 19621 21784 22424 29953 30833 34232 39242 43568 44848 59906 61666 68464 78484 119812 123332 156968 215831 239624 246664 313936 431662 479248 493328 863324 1090367 1726648 2180734 3453296 4361468 7632569 8722936 11994037 15265138 17445872 23988074 30530276 47976148 61060552 83958259 95952296 122121104 167916518 191904592 335833036 671666072 1343332144