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326133054 = 23413236733
BaseRepresentation
bin10011011100000…
…110010100111110
3211201200021110000
4103130012110332
51131442224204
652210055130
711040041142
oct2334062476
9751607400
10326133054
11158103655
129127a4a6
135274a950
1431457222
151d972039
hex1370653e

326133054 has 80 divisors (see below), whose sum is σ = 821332512. Its totient is φ = 95971392.

The previous prime is 326133013. The next prime is 326133089. The reversal of 326133054 is 450331623.

It is a happy number.

326133054 is a `hidden beast` number, since 326 + 1 + 330 + 5 + 4 = 666.

It is a super-2 number, since 2×3261330542 = 212725537822733832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45072 + ... + 51804.

Almost surely, 2326133054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326133054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410666256).

326133054 is an abundant number, since it is smaller than the sum of its proper divisors (495199458).

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

326133054 is a wasteful number, since it uses less digits than its factorization.

326133054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 326133054 is about 18059.1542991359. The cubic root of 326133054 is about 688.3324951704.

Adding to 326133054 its reverse (450331623), we get a palindrome (776464677).

It can be divided in two parts, 3261 and 33054, that added together give a triangular number (36315 = T269).

The spelling of 326133054 in words is "three hundred twenty-six million, one hundred thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1794 1863 2106 2691 3726 5382 6733 8073 13466 16146 20199 24219 40398 48438 60597 87529 121194 154859 175058 181791 262587 309718 363582 464577 525174 545373 787761 929154 1090746 1393731 1575522 2013167 2363283 2787462 4026334 4181193 4726566 6039501 7089849 8362386 12079002 12543579 14179698 18118503 25087158 36237006 54355509 108711018 163066527 326133054