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324880192 = 2672132613
BaseRepresentation
bin10011010111010…
…100011101000000
3211122022121211201
4103113110131000
51131132131232
652123150544
711023302400
oct2327243500
9748277751
10324880192
1115742832a
1290975454
13523cc600
143120c800
151d7c5be7
hex135d4740

324880192 has 126 divisors (see below), whose sum is σ = 813388518. Its totient is φ = 128314368.

The previous prime is 324880189. The next prime is 324880211. The reversal of 324880192 is 291088423.

It can be written as a sum of positive squares in 3 ways, for example, as 40755456 + 284124736 = 6384^2 + 16856^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529678 + ... + 530290.

Almost surely, 2324880192 is an apocalyptic number.

324880192 is a gapful number since it is divisible by the number (32) 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 324880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406694259).

324880192 is an abundant number, since it is smaller than the sum of its proper divisors (488508326).

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

324880192 is a wasteful number, since it uses less digits than its factorization.

324880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 324880192 is about 18024.4331949718. The cubic root of 324880192 is about 687.4499389223.

The spelling of 324880192 in words is "three hundred twenty-four million, eight hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 169 182 196 208 224 338 364 392 416 448 613 637 676 728 784 832 1183 1226 1274 1352 1456 1568 2366 2452 2548 2704 2912 3136 4291 4732 4904 5096 5408 5824 7969 8281 8582 9464 9808 10192 10816 15938 16562 17164 18928 19616 20384 30037 31876 33124 34328 37856 39232 40768 55783 60074 63752 66248 68656 75712 103597 111566 120148 127504 132496 137312 207194 223132 240296 255008 264992 274624 390481 414388 446264 480592 510016 529984 725179 780962 828776 892528 961184 1450358 1561924 1657552 1785056 1922368 2900716 3123848 3315104 3570112 5076253 5801432 6247696 6630208 10152506 11602864 12495392 20305012 23205728 24990784 40610024 46411456 81220048 162440096 324880192