Search a number
-
+
1332300144 = 243731373457
BaseRepresentation
bin100111101101001…
…0100100101110000
310102211221212012210
41033122110211300
510212032101034
6340111452120
745005235660
oct11732244560
93384855183
101332300144
116240598aa
12312227040
13183036ba6
14c8d2c1a0
157be708e9
hex4f694970

1332300144 has 160 divisors (see below), whose sum is σ = 4171288576. Its totient is φ = 358318080.

The previous prime is 1332300143. The next prime is 1332300157. The reversal of 1332300144 is 4410032331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1332300144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332300143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383664 + ... + 387120.

Almost surely, 21332300144 is an apocalyptic number.

1332300144 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 1332300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085644288).

1332300144 is an abundant number, since it is smaller than the sum of its proper divisors (2838988432).

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

1332300144 is a wasteful number, since it uses less digits than its factorization.

1332300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1332300144 is about 36500.6868976462. The cubic root of 1332300144 is about 1100.3580498334.

Adding to 1332300144 its reverse (4410032331), we get a palindrome (5742332475).

It can be divided in two parts, 1332 and 300144, that added together give a triangular number (301476 = T776).

The spelling of 1332300144 in words is "one billion, three hundred thirty-two million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 296 336 372 434 444 496 518 592 651 744 777 868 888 1036 1147 1302 1488 1554 1736 1776 2072 2294 2604 3108 3441 3457 3472 4144 4588 5208 6216 6882 6914 8029 9176 10371 10416 12432 13764 13828 16058 18352 20742 24087 24199 27528 27656 32116 41484 48174 48398 55056 55312 64232 72597 82968 96348 96796 107167 127909 128464 145194 165936 192696 193592 214334 255818 290388 321501 383727 385392 387184 428668 511636 580776 643002 750169 767454 857336 895363 1023272 1161552 1286004 1500338 1534908 1714672 1790726 2046544 2250507 2572008 2686089 3000676 3069816 3581452 3965179 4501014 5144016 5372178 6001352 6139632 7162904 7930358 9002028 10744356 11895537 12002704 14325808 15860716 18004056 21488712 23791074 27756253 31721432 36008112 42977424 47582148 55512506 63442864 83268759 95164296 111025012 166537518 190328592 222050024 333075036 444100048 666150072 1332300144