Search a number
-
+
323102330320 = 245711419125183
BaseRepresentation
bin1001011001110100110…
…01100100110111010000
31010212222120001000010211
410230322121210313100
520243203144032240
6404233044133504
732225530331140
oct4547231446720
91125876030124
10323102330320
11115032929a80
1252752397294
1324612169153
14118d146a920
158610983bea
hex4b3a664dd0

323102330320 has 160 divisors (see below), whose sum is σ = 938819911680. Its totient is φ = 100466065920.

The previous prime is 323102330303. The next prime is 323102330339. The reversal of 323102330320 is 23033201323.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 323102330291 and 323102330300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518449 + ... + 2643631.

It is an arithmetic number, because the mean of its divisors is an integer number (5867624448).

Almost surely, 2323102330320 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 323102330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469409955840).

323102330320 is an abundant number, since it is smaller than the sum of its proper divisors (615717581360).

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

323102330320 is a wasteful number, since it uses less digits than its factorization.

323102330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125633 (or 125627 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 323102330320 its reverse (23033201323), we get a palindrome (346135531643).

The spelling of 323102330320 in words is "three hundred twenty-three billion, one hundred two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 419 440 560 616 770 838 880 1232 1540 1676 2095 2933 3080 3352 4190 4609 5866 6160 6704 8380 9218 11732 14665 16760 18436 23045 23464 29330 32263 33520 36872 46090 46928 58660 64526 73744 92180 117320 125183 129052 161315 184360 234640 250366 258104 322630 368720 500732 516208 625915 645260 876281 1001464 1251830 1290520 1377013 1752562 2002928 2503660 2581040 2754026 3505124 4381405 5007320 5508052 6885065 7010248 8762810 9639091 10014640 11016104 13770130 14020496 17525620 19278182 22032208 27540260 35051240 38556364 48195455 52451677 55080520 70102480 77112728 96390910 104903354 110161040 154225456 192781820 209806708 262258385 367161739 385563640 419613416 524516770 576968447 734323478 771127280 839226832 1049033540 1153936894 1468646956 1835808695 2098067080 2307873788 2884842235 2937293912 3671617390 4038779129 4196134160 4615747576 5769684470 5874587824 7343234780 8077558258 9231495152 11539368940 14686469560 16155116516 20193895645 23078737880 29372939120 32310233032 40387791290 46157475760 64620466064 80775582580 161551165160 323102330320