Search a number
-
+
323145620334 = 2321722928116411
BaseRepresentation
bin1001011001111001111…
…10101101101101101110
31010220002120111100212200
410230330332231231232
520243300234322314
6404241232042330
732226564311115
oct4547476555556
91126076440780
10323145620334
11115055307449
12527649933a6
132461b115344
14118d70d8c7c
158614685709
hex4b3cfadb6e

323145620334 has 96 divisors (see below), whose sum is σ = 747266588640. Its totient is φ = 100570982400.

The previous prime is 323145620323. The next prime is 323145620423. The reversal of 323145620334 is 433026541323.

323145620334 is a `hidden beast` number, since 3 + 2 + 314 + 5 + 6 + 2 + 0 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19682589 + ... + 19698999.

It is an arithmetic number, because the mean of its divisors is an integer number (7784026965).

Almost surely, 2323145620334 is an apocalyptic number.

323145620334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323145620334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373633294320).

323145620334 is an abundant number, since it is smaller than the sum of its proper divisors (424120968306).

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

323145620334 is a wasteful number, since it uses less digits than its factorization.

323145620334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16946 (or 16943 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 323145620334 in words is "three hundred twenty-three billion, one hundred forty-five million, six hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 229 281 306 458 562 687 843 1374 1686 2061 2529 3893 4122 4777 5058 7786 9554 11679 14331 16411 23358 28662 32822 35037 42993 49233 64349 70074 85986 98466 128698 147699 193047 278987 295398 386094 557974 579141 836961 1093933 1158282 1673922 2187866 2510883 3281799 3758119 4611491 5021766 6563598 7516238 9222982 9845397 11274357 13834473 19690794 22548714 27668946 33823071 41503419 63888023 67646142 78395347 83006838 127776046 156790694 191664069 235186041 383328138 470372082 574992207 705558123 1056031439 1149984414 1411116246 2112062878 3168094317 6336188634 9504282951 17952534463 19008565902 35905068926 53857603389 107715206778 161572810167 323145620334