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323080416 = 253229101383
BaseRepresentation
bin10011010000011…
…101000011100000
3211111221012000100
4103100131003200
51130202033131
652020422400
711002065261
oct2320350340
9744835010
10323080416
1115640910a
1290247a00
1351c1c359
1430ca0968
151d56c7e6
hex1341d0e0

323080416 has 144 divisors (see below), whose sum is σ = 962357760. Its totient is φ = 102681600.

The previous prime is 323080399. The next prime is 323080463. The reversal of 323080416 is 614080323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 323080416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843361 + ... + 843743.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2323080416 is an apocalyptic number.

323080416 is a gapful number since it is divisible by the number (36) 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 323080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

323080416 is an abundant number, since it is smaller than the sum of its proper divisors (639277344).

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

323080416 is a wasteful number, since it uses less digits than its factorization.

323080416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 323080416 is about 17974.4378493459. The cubic root of 323080416 is about 686.1781391305.

The spelling of 323080416 in words is "three hundred twenty-three million, eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 101 116 144 174 202 232 261 288 303 348 383 404 464 522 606 696 766 808 909 928 1044 1149 1212 1392 1532 1616 1818 2088 2298 2424 2784 2929 3064 3232 3447 3636 4176 4596 4848 5858 6128 6894 7272 8352 8787 9192 9696 11107 11716 12256 13788 14544 17574 18384 22214 23432 26361 27576 29088 33321 35148 36768 38683 44428 46864 52722 55152 66642 70296 77366 88856 93728 99963 105444 110304 116049 133284 140592 154732 177712 199926 210888 232098 266568 281184 309464 348147 355424 399852 421776 464196 533136 618928 696294 799704 843552 928392 1066272 1121807 1237856 1392588 1599408 1856784 2243614 2785176 3198816 3365421 3713568 4487228 5570352 6730842 8974456 10096263 11140704 13461684 17948912 20192526 26923368 35897824 40385052 53846736 80770104 107693472 161540208 323080416