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30201336 = 23341119223
BaseRepresentation
bin111001100110…
…1010111111000
32002211101110000
41303031113320
530212420321
62555153000
7514464354
oct163152770
962741400
1030201336
1116058790
12a145760
136345819
144022464
1529b8826
hex1ccd5f8

30201336 has 160 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 8631360.

The previous prime is 30201331. The next prime is 30201337. The reversal of 30201336 is 63310203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30201331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135321 + ... + 135543.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 230201336 is an apocalyptic number.

30201336 is a gapful number since it is divisible by the number (36) 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 30201336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

30201336 is an abundant number, since it is smaller than the sum of its proper divisors (67373064).

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

30201336 is a wasteful number, since it uses less digits than its factorization.

30201336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30201336 is about 5495.5742193150. The cubic root of 30201336 is about 311.4168099894.

Adding to 30201336 its reverse (63310203), we get a palindrome (93511539).

It can be divided in two parts, 3020 and 1336, that added together give a square (4356 = 662).

The spelling of 30201336 in words is "thirty million, two hundred one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 81 88 99 108 114 132 152 162 171 198 209 216 223 228 264 297 324 342 396 418 446 456 513 594 627 648 669 684 792 836 891 892 1026 1188 1254 1338 1368 1539 1672 1782 1784 1881 2007 2052 2376 2453 2508 2676 3078 3564 3762 4014 4104 4237 4906 5016 5352 5643 6021 6156 7128 7359 7524 8028 8474 9812 11286 12042 12312 12711 14718 15048 16056 16929 16948 18063 19624 22077 22572 24084 25422 29436 33858 33896 36126 38133 44154 45144 46607 48168 50844 58872 66231 67716 72252 76266 88308 93214 101688 114399 132462 135432 139821 144504 152532 176616 186428 198693 228798 264924 279642 305064 343197 372856 397386 419463 457596 529848 559284 686394 794772 838926 915192 1118568 1258389 1372788 1589544 1677852 2516778 2745576 3355704 3775167 5033556 7550334 10067112 15100668 30201336