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324241434 = 233113714753
BaseRepresentation
bin10011010100111…
…000100000011010
3211121010011122000
4103110320200122
51131001211214
652101341430
711015002206
oct2324704032
9747104560
10324241434
11157031430
1290707876
135223794a
14310c3b06
151d6eb809
hex1353881a

324241434 has 64 divisors (see below), whose sum is σ = 807338880. Its totient is φ = 95592960.

The previous prime is 324241417. The next prime is 324241469. The reversal of 324241434 is 434142423.

It is a happy number.

324241434 is a `hidden beast` number, since 3 + 242 + 414 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 324241398 and 324241407.

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, 14602 + ... + 29354.

It is an arithmetic number, because the mean of its divisors is an integer number (12614670).

Almost surely, 2324241434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324241434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403669440).

324241434 is an abundant number, since it is smaller than the sum of its proper divisors (483097446).

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

324241434 is a wasteful number, since it uses less digits than its factorization.

324241434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14812 (or 14806 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 324241434 is about 18006.7052511002. The cubic root of 324241434 is about 686.9991037535. Note that the first 3 decimals are identical.

Adding to 324241434 its reverse (434142423), we get a palindrome (758383857).

The spelling of 324241434 in words is "three hundred twenty-four million, two hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1998 2442 3663 7326 10989 14753 21978 29506 44259 88518 132777 162283 265554 324566 398331 486849 545861 796662 973698 1091722 1460547 1637583 2921094 3275166 4381641 4912749 6004471 8763282 9825498 12008942 14738247 18013413 29476494 36026826 54040239 108080478 162120717 324241434