Search a number
-
+
143368704 = 29343457
BaseRepresentation
bin10001000101110…
…10001000000000
3100222202212220000
420202322020000
5243200244304
622120520000
73360420363
oct1042721000
9328685800
10143368704
1173a23036
1240020000
132391976b
14150800da
15c8be939
hex88ba200

143368704 has 100 divisors (see below), whose sum is σ = 428041614. Its totient is φ = 47775744.

The previous prime is 143368703. The next prime is 143368723. The reversal of 143368704 is 407863341.

It can be written as a sum of positive squares in only one way, i.e., 142850304 + 518400 = 11952^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143368703) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39744 + ... + 43200.

Almost surely, 2143368704 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 143368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214020807).

143368704 is an abundant number, since it is smaller than the sum of its proper divisors (284672910).

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

143368704 is an frugal number, since it uses more digits than its factorization.

143368704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 143368704 is about 11973.6671074487. The cubic root of 143368704 is about 523.3812014401.

The spelling of 143368704 in words is "one hundred forty-three million, three hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 3457 4608 5184 6912 6914 10368 10371 13824 13828 20736 20742 27656 31113 41472 41484 55312 62226 82968 93339 110624 124452 165936 186678 221248 248904 280017 331872 373356 442496 497808 560034 663744 746712 884992 995616 1120068 1327488 1493424 1769984 1991232 2240136 2654976 2986848 3982464 4480272 5309952 5973696 7964928 8960544 11947392 15929856 17921088 23894784 35842176 47789568 71684352 143368704