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364332012 = 22311103127211
BaseRepresentation
bin10101101101110…
…100001111101100
3221101112222120020
4111231310033230
51221232111022
6100052522140
712012525312
oct2555641754
9841488506
10364332012
11177724040
12a2020350
135a633795
143655c0b2
1521eba35c
hex15b743ec

364332012 has 96 divisors (see below), whose sum is σ = 948240384. Its totient is φ = 107956800.

The previous prime is 364331993. The next prime is 364332013. The reversal of 364332012 is 210233463.

It is not an unprimeable number, because it can be changed into a prime (364332013) 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 31 ways as a sum of consecutive naturals, for example, 1726587 + ... + 1726797.

It is an arithmetic number, because the mean of its divisors is an integer number (9877504).

Almost surely, 2364332012 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 364332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474120192).

364332012 is an abundant number, since it is smaller than the sum of its proper divisors (583908372).

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

364332012 is a wasteful number, since it uses less digits than its factorization.

364332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 364332012 is about 19087.4831237646. The cubic root of 364332012 is about 714.2207181164.

Adding to 364332012 its reverse (210233463), we get a palindrome (574565475).

The spelling of 364332012 in words is "three hundred sixty-four million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 127 132 206 211 254 309 381 412 422 508 618 633 762 844 1133 1236 1266 1397 1524 2266 2321 2532 2794 3399 4191 4532 4642 5588 6798 6963 8382 9284 13081 13596 13926 16764 21733 26162 26797 27852 39243 43466 52324 53594 65199 78486 80391 86932 107188 130398 143891 156972 160782 239063 260796 287782 294767 321564 431673 478126 575564 589534 717189 863346 884301 956252 1179068 1434378 1726692 1768602 2760091 2868756 3537204 5520182 8280273 11040364 16560546 30361001 33121092 60722002 91083003 121444004 182166006 364332012