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1323348336 = 243231521569
BaseRepresentation
bin100111011100000…
…1011000101110000
310102020010001122100
41032320023011300
510202234121321
6335151540400
744536163262
oct11670130560
93366101570
101323348336
11619aa5212
1230b22a700
1318122146b
14c7a7bb32
157b2a3326
hex4ee0b170

1323348336 has 120 divisors (see below), whose sum is σ = 3837075840. Its totient is φ = 425318400.

The previous prime is 1323348319. The next prime is 1323348343. The reversal of 1323348336 is 6338433231.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1323348336.

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, 2325460 + ... + 2326028.

It is an arithmetic number, because the mean of its divisors is an integer number (31975632).

Almost surely, 21323348336 is an apocalyptic number.

1323348336 is a gapful number since it is divisible by the number (16) 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 1323348336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918537920).

1323348336 is an abundant number, since it is smaller than the sum of its proper divisors (2513727504).

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

1323348336 is a wasteful number, since it uses less digits than its factorization.

1323348336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1126 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 1323348336 is about 36377.8550219773. The cubic root of 1323348336 is about 1097.8880513334. Note that the first 3 decimals are identical.

The spelling of 1323348336 in words is "one billion, three hundred twenty-three million, three hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 521 558 569 744 1042 1116 1138 1488 1563 1707 2084 2232 2276 3126 3414 4168 4464 4552 4689 5121 6252 6828 8336 9104 9378 10242 12504 13656 16151 17639 18756 20484 25008 27312 32302 35278 37512 40968 48453 52917 64604 70556 75024 81936 96906 105834 129208 141112 145359 158751 193812 211668 258416 282224 290718 296449 317502 387624 423336 581436 592898 635004 775248 846672 889347 1162872 1185796 1270008 1778694 2325744 2371592 2540016 2668041 3557388 4743184 5336082 7114776 9189919 10672164 14229552 18379838 21344328 27569757 36759676 42688656 55139514 73519352 82709271 110279028 147038704 165418542 220558056 330837084 441116112 661674168 1323348336