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34231606500 = 223537131967197
BaseRepresentation
bin11111111000010111…
…001101110011100100
310021100122210210012210
4133320113031303210
51030101242402000
623420434043420
72321201566020
oct377027156344
9107318723183
1034231606500
1113576938693
126774119570
1332c6c89080
14192a44b380
15d5539d350
hex7f85cdce4

34231606500 has 768 divisors, whose sum is σ = 131736084480. Its totient is φ = 6706022400.

The previous prime is 34231606489. The next prime is 34231606529. The reversal of 34231606500 is 560613243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 173764402 + ... + 173764598.

It is an arithmetic number, because the mean of its divisors is an integer number (171531360).

Almost surely, 234231606500 is an apocalyptic number.

34231606500 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 34231606500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65868042240).

34231606500 is an abundant number, since it is smaller than the sum of its proper divisors (97504477980).

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

34231606500 is a wasteful number, since it uses less digits than its factorization.

34231606500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 34231606500 in words is "thirty-four billion, two hundred thirty-one million, six hundred six thousand, five hundred".