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4232430342324 = 22323719116636127
BaseRepresentation
bin111101100101110000100…
…000011101000010110100
3112222121122100101110201100
4331211300200131002310
51023321004131423244
613000203542530100
7614532366215112
oct75456040350264
915877570343640
104232430342324
111391a66652a78
12584334436930
13249168b60382
14108bca546ab2
15751665c4b69
hex3d97081d0b4

4232430342324 has 72 divisors (see below), whose sum is σ = 11045324279808. Its totient is φ = 1365493222080.

The previous prime is 4232430342307. The next prime is 4232430342337.

4232430342324 is a `hidden beast` number, since 4 + 2 + 3 + 24 + 303 + 4 + 2 + 324 = 666.

4232430342324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8063652 + ... + 8572475.

It is an arithmetic number, because the mean of its divisors is an integer number (153407281664).

Almost surely, 24232430342324 is an apocalyptic number.

It is an amenable number.

4232430342324 is an abundant number, since it is smaller than the sum of its proper divisors (6812893937484).

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

4232430342324 is a wasteful number, since it uses less digits than its factorization.

4232430342324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16636365 (or 16636360 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4232430 and 342324, that added together give a palindrome (4574754).

The spelling of 4232430342324 in words is "four trillion, two hundred thirty-two billion, four hundred thirty million, three hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 191 222 333 382 444 573 666 764 1146 1332 1719 2292 3438 6876 7067 14134 21201 28268 42402 63603 84804 127206 254412 16636127 33272254 49908381 66544508 99816762 149725143 199633524 299450286 598900572 615536699 1231073398 1846610097 2462146796 3177500257 3693220194 5539830291 6355000514 7386440388 9532500771 11079660582 12710001028 19065001542 22159321164 28597502313 38130003084 57195004626 114390009252 117567509509 235135019018 352702528527 470270038036 705405057054 1058107585581 1410810114108 2116215171162 4232430342324