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272431404 = 223371732083
BaseRepresentation
bin10000001111001…
…111100100101100
3200222121221122000
4100033033210230
51024220301104
643011052300
76515425440
oct2017174454
9628557560
10272431404
1112a864823
12772a1090
134459771b
1428278820
1518db5639
hex103cf92c

272431404 has 96 divisors (see below), whose sum is σ = 812259840. Its totient is φ = 77350464.

The previous prime is 272431391. The next prime is 272431417. The reversal of 272431404 is 404134272.

It is an interprime number because it is at equal distance from previous prime (272431391) and next prime (272431417).

It is a super-2 number, since 2×2724314042 = 148437739770822432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129747 + ... + 131829.

It is an arithmetic number, because the mean of its divisors is an integer number (8461040).

Almost surely, 2272431404 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 272431404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406129920).

272431404 is an abundant number, since it is smaller than the sum of its proper divisors (539828436).

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

272431404 is a wasteful number, since it uses less digits than its factorization.

272431404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 272431404 is about 16505.4961755168. The cubic root of 272431404 is about 648.2647238007.

Adding to 272431404 its reverse (404134272), we get a palindrome (676565676).

The spelling of 272431404 in words is "two hundred seventy-two million, four hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 173 189 252 346 378 519 692 756 1038 1211 1557 2076 2083 2422 3114 3633 4166 4671 4844 6228 6249 7266 8332 9342 10899 12498 14532 14581 18684 18747 21798 24996 29162 32697 37494 43596 43743 56241 58324 65394 74988 87486 112482 130788 131229 174972 224964 262458 360359 393687 524916 720718 787374 1081077 1441436 1574748 2162154 2522513 3243231 4324308 5045026 6486462 7567539 9729693 10090052 12972924 15135078 19459386 22702617 30270156 38918772 45405234 68107851 90810468 136215702 272431404