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323143040 = 27511197233
BaseRepresentation
bin10011010000101…
…100010110000000
3211112001100220202
4103100230112000
51130211034130
652022024332
711002445663
oct2320542600
9745040822
10323143040
11156451170
12902780a8
1351c419cc
1430cb96da
151d581145
hex1342c580

323143040 has 128 divisors (see below), whose sum is σ = 850655520. Its totient is φ = 116408320.

The previous prime is 323143019. The next prime is 323143061. The reversal of 323143040 is 40341323.

323143040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (323143019) and next prime (323143061).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386764 + ... + 1386996.

Almost surely, 2323143040 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 323143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425327760).

323143040 is an abundant number, since it is smaller than the sum of its proper divisors (527512480).

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

323143040 is a wasteful number, since it uses less digits than its factorization.

323143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 323143040 is about 17976.1797943835. The cubic root of 323143040 is about 686.2224711724. Note that the first 3 decimals are identical.

Adding to 323143040 its reverse (40341323), we get a palindrome (363484363).

The spelling of 323143040 in words is "three hundred twenty-three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 197 220 233 320 352 394 440 466 640 704 788 880 932 985 1165 1408 1576 1760 1864 1970 2167 2330 2563 3152 3520 3728 3940 4334 4660 5126 6304 7040 7456 7880 8668 9320 10252 10835 12608 12815 14912 15760 17336 18640 20504 21670 25216 25630 29824 31520 34672 37280 41008 43340 45901 51260 63040 69344 74560 82016 86680 91802 102520 126080 138688 149120 164032 173360 183604 205040 229505 277376 328064 346720 367208 410080 459010 504911 693440 734416 820160 918020 1009822 1386880 1468832 1640320 1836040 2019644 2524555 2937664 3672080 4039288 5049110 5875328 7344160 8078576 10098220 14688320 16157152 20196440 29376640 32314304 40392880 64628608 80785760 161571520 323143040