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3324240420 = 2235297326171
BaseRepresentation
bin1100011000100011…
…1110001000100100
322120200010220120120
43012020332020210
523302001143140
61305510001540
7145243402014
oct30610761044
98520126516
103324240420
1114564a1036
127893462b0
1340c91b887
142376c9c44
15146c901d0
hexc623e224

3324240420 has 96 divisors (see below), whose sum is σ = 9761109120. Its totient is φ = 844139520.

The previous prime is 3324240379. The next prime is 3324240421. The reversal of 3324240420 is 240424233.

It is a super-2 number, since 2×33242404202 = 22101148739923552800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3324240421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113935 + ... + 140105.

It is an arithmetic number, because the mean of its divisors is an integer number (101678220).

Almost surely, 23324240420 is an apocalyptic number.

3324240420 is a gapful number since it is divisible by the number (30) 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 3324240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880554560).

3324240420 is an abundant number, since it is smaller than the sum of its proper divisors (6436868700).

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

3324240420 is a wasteful number, since it uses less digits than its factorization.

3324240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26285 (or 26283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3324240420 is about 57656.2262032471. The cubic root of 3324240420 is about 1492.4420443870.

Adding to 3324240420 its reverse (240424233), we get a palindrome (3564664653).

The spelling of 3324240420 in words is "three billion, three hundred twenty-four million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 290 292 348 365 435 438 580 730 870 876 1095 1460 1740 2117 2190 4234 4380 6351 8468 10585 12702 21170 25404 26171 31755 42340 52342 63510 78513 104684 127020 130855 157026 261710 314052 392565 523420 758959 785130 1517918 1570260 1910483 2276877 3035836 3794795 3820966 4553754 5731449 7589590 7641932 9107508 9552415 11384385 11462898 15179180 19104830 22768770 22925796 28657245 38209660 45537540 55404007 57314490 110808014 114628980 166212021 221616028 277020035 332424042 554040070 664848084 831060105 1108080140 1662120210 3324240420