Search a number
-
+
1342543200 = 253521035431
BaseRepresentation
bin101000000000101…
…1001010101100000
310110120020021001020
41100001121111200
510222142340300
6341115205440
745161300055
oct12001312540
93416207036
101342543200
11629915639
12315746880
131851b227b
14ca43702c
157cce58a0
hex50059560

1342543200 has 144 divisors (see below), whose sum is σ = 4413217536. Its totient is φ = 354470400.

The previous prime is 1342543183. The next prime is 1342543217. The reversal of 1342543200 is 23452431.

It is an interprime number because it is at equal distance from previous prime (1342543183) and next prime (1342543217).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244485 + ... + 249915.

It is an arithmetic number, because the mean of its divisors is an integer number (30647344).

Almost surely, 21342543200 is an apocalyptic number.

1342543200 is a gapful number since it is divisible by the number (10) 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 1342543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206608768).

1342543200 is an abundant number, since it is smaller than the sum of its proper divisors (3070674336).

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

1342543200 is a wasteful number, since it uses less digits than its factorization.

1342543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1342543200 is about 36640.7314337473. The cubic root of 1342543200 is about 1103.1707961684.

Adding to 1342543200 its reverse (23452431), we get a palindrome (1365995631).

The spelling of 1342543200 in words is "one billion, three hundred forty-two million, five hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 103 120 150 160 200 206 240 300 309 400 412 480 515 600 618 800 824 1030 1200 1236 1545 1648 2060 2400 2472 2575 3090 3296 4120 4944 5150 5431 6180 7725 8240 9888 10300 10862 12360 15450 16293 16480 20600 21724 24720 27155 30900 32586 41200 43448 49440 54310 61800 65172 81465 82400 86896 108620 123600 130344 135775 162930 173792 217240 247200 260688 271550 325860 407325 434480 521376 543100 559393 651720 814650 868960 1086200 1118786 1303440 1629300 1678179 2172400 2237572 2606880 2796965 3258600 3356358 4344800 4475144 5593930 6517200 6712716 8390895 8950288 11187860 13034400 13425432 13984825 16781790 17900576 22375720 26850864 27969650 33563580 41954475 44751440 53701728 55939300 67127160 83908950 89502880 111878600 134254320 167817900 223757200 268508640 335635800 447514400 671271600 1342543200