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326464460 = 225721989197
BaseRepresentation
bin10011011101010…
…111001111001100
3211202022010001022
4103131113033030
51132033330320
652221133312
711042621300
oct2335271714
9752263038
10326464460
1115830a643
12913ba238
135283574a
1431501d00
151d9da325
hex137573cc

326464460 has 144 divisors (see below), whose sum is σ = 853221600. Its totient is φ = 104315904.

The previous prime is 326464429. The next prime is 326464469. The reversal of 326464460 is 64464623.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 326464460.

It is not an unprimeable number, because it can be changed into a prime (326464469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657082 + ... + 1657278.

It is an arithmetic number, because the mean of its divisors is an integer number (5925150).

Almost surely, 2326464460 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 326464460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426610800).

326464460 is an abundant number, since it is smaller than the sum of its proper divisors (526757140).

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

326464460 is a wasteful number, since it uses less digits than its factorization.

326464460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 326464460 is about 18068.3275374341. The cubic root of 326464460 is about 688.5655700776.

The spelling of 326464460 in words is "three hundred twenty-six million, four hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 89 95 98 133 140 178 190 196 197 245 266 356 380 394 445 490 532 623 665 788 890 931 980 985 1246 1330 1379 1691 1780 1862 1970 2492 2660 2758 3115 3382 3724 3743 3940 4361 4655 5516 6230 6764 6895 7486 8455 8722 9310 9653 11837 12460 13790 14972 16910 17444 17533 18620 18715 19306 21805 23674 26201 27580 33820 35066 37430 38612 43610 47348 48265 52402 59185 70132 74860 82859 87220 87665 96530 104804 118370 122731 131005 165718 175330 183407 193060 236740 245462 262010 331436 333127 350660 366814 414295 490924 524020 613655 666254 733628 828590 859117 917035 1227310 1332508 1657180 1665635 1718234 1834070 2331889 2454620 3331270 3436468 3668140 4295585 4663778 6662540 8591170 9327556 11659445 16323223 17182340 23318890 32646446 46637780 65292892 81616115 163232230 326464460