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326067072 = 27317199251
BaseRepresentation
bin10011011011110…
…110001110000000
3211201112220221020
4103123312032000
51131433121242
652204425440
711036344602
oct2333661600
9751486836
10326067072
11158069021
1291248280
13527268c6
143143b172
151d95c6ec
hex136f6380

326067072 has 128 divisors (see below), whose sum is σ = 925344000. Its totient is φ = 101376000.

The previous prime is 326067047. The next prime is 326067103. The reversal of 326067072 is 270760623.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298947 + ... + 1299197.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2326067072 is an apocalyptic number.

326067072 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 326067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

326067072 is an abundant number, since it is smaller than the sum of its proper divisors (599276928).

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

326067072 is a wasteful number, since it uses less digits than its factorization.

326067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 326067072 is about 18057.3273769957. The cubic root of 326067072 is about 688.2860717680.

The spelling of 326067072 in words is "three hundred twenty-six million, sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 199 204 251 272 384 398 408 502 544 597 753 796 816 1004 1088 1194 1506 1592 1632 2008 2176 2388 3012 3184 3264 3383 4016 4267 4776 6024 6368 6528 6766 8032 8534 9552 10149 12048 12736 12801 13532 16064 17068 19104 20298 24096 25472 25602 27064 32128 34136 38208 40596 48192 49949 51204 54128 68272 76416 81192 96384 99898 102408 108256 136544 149847 162384 199796 204816 216512 273088 299694 324768 399592 409632 433024 546176 599388 649536 799184 819264 849133 1198776 1299072 1598368 1638528 1698266 2397552 2547399 3196736 3396532 4795104 5094798 6393472 6793064 9590208 10189596 13586128 19180416 20379192 27172256 40758384 54344512 81516768 108689024 163033536 326067072