Search a number
-
+
324014004 = 223273139887
BaseRepresentation
bin10011010100000…
…000111110110100
3211120200121122200
4103110000332310
51130421422004
652052424500
711013034146
oct2324007664
9746617580
10324014004
11156996576
1290618130
1352188282
1431064c96
151d6a4239
hex13500fb4

324014004 has 72 divisors (see below), whose sum is σ = 837170880. Its totient is φ = 105639552.

The previous prime is 324014003. The next prime is 324014063. The reversal of 324014004 is 400410423.

It is a super-2 number, since 2×3240140042 = 209970149576224032, which contains 22 as substring.

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 (324014003) 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 23 ways as a sum of consecutive naturals, for example, 364849 + ... + 365735.

Almost surely, 2324014004 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 324014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418585440).

324014004 is an abundant number, since it is smaller than the sum of its proper divisors (513156876).

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

324014004 is a wasteful number, since it uses less digits than its factorization.

324014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 324014004 is about 18000.3889957967. The cubic root of 324014004 is about 686.8384408081.

Adding to 324014004 its reverse (400410423), we get a palindrome (724424427).

The spelling of 324014004 in words is "three hundred twenty-four million, fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 73 139 146 219 278 292 417 438 556 657 834 876 887 1251 1314 1668 1774 2502 2628 2661 3548 5004 5322 7983 10147 10644 15966 20294 30441 31932 40588 60882 64751 91323 121764 123293 129502 182646 194253 246586 259004 365292 369879 388506 493172 582759 739758 777012 1109637 1165518 1479516 2219274 2331036 4438548 9000389 18000778 27001167 36001556 54002334 81003501 108004668 162007002 324014004