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32403134424 = 23347671074007
BaseRepresentation
bin11110001011011000…
…001001011111011000
310002122020012210001210
4132023120021133120
51012330200300144
622515155343120
72224660045443
oct361330113730
9102566183053
1032403134424
11128187a7541
1263438b1aa0
13309520a62b
1417d568265a
15c99abdab9
hex78b6097d8

32403134424 has 128 divisors (see below), whose sum is σ = 84772085760. Its totient is φ = 10313559168.

The previous prime is 32403134411. The next prime is 32403134443. The reversal of 32403134424 is 42443130423.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32403134391 and 32403134400.

It is a congruent number.

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, 8084629 + ... + 8088635.

It is an arithmetic number, because the mean of its divisors is an integer number (662281920).

Almost surely, 232403134424 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 32403134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42386042880).

32403134424 is an abundant number, since it is smaller than the sum of its proper divisors (52368951336).

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

32403134424 is a wasteful number, since it uses less digits than its factorization.

32403134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 32403134424 its reverse (42443130423), we get a palindrome (74846264847).

The spelling of 32403134424 in words is "thirty-two billion, four hundred three million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 67 94 107 134 141 188 201 214 268 282 321 376 402 428 536 564 642 804 856 1128 1284 1608 2568 3149 4007 5029 6298 7169 8014 9447 10058 12021 12596 14338 15087 16028 18894 20116 21507 24042 25192 28676 30174 32056 37788 40232 43014 48084 57352 60348 75576 86028 96168 120696 172056 188329 268469 336943 376658 428749 536938 564987 673886 753316 805407 857498 1010829 1073876 1129974 1286247 1347772 1506632 1610814 1714996 2021658 2147752 2259948 2572494 2695544 3221628 3429992 4043316 4519896 5144988 6443256 8086632 10289976 12618043 20151203 25236086 28726183 37854129 40302406 50472172 57452366 60453609 75708258 80604812 86178549 100944344 114904732 120907218 151416516 161209624 172357098 229809464 241814436 302833032 344714196 483628872 689428392 1350130601 2700261202 4050391803 5400522404 8100783606 10801044808 16201567212 32403134424