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643500234 = 233131376691
BaseRepresentation
bin100110010110110…
…000100011001010
31122211212012101000
4212112300203022
52304214001414
6143504235430
721642442656
oct4626604312
91584765330
10643500234
1130026a283
1215b60bb76
13a3419690
146166ba66
153b761b09
hex265b08ca

643500234 has 64 divisors (see below), whose sum is σ = 1551473280. Its totient is φ = 196525440.

The previous prime is 643500229. The next prime is 643500239. The reversal of 643500234 is 432005346.

It is an interprime number because it is at equal distance from previous prime (643500229) and next prime (643500239).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 643500198 and 643500207.

It is not an unprimeable number, because it can be changed into a prime (643500239) 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 31 ways as a sum of consecutive naturals, for example, 92829 + ... + 99519.

It is an arithmetic number, because the mean of its divisors is an integer number (24241770).

Almost surely, 2643500234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643500234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775736640).

643500234 is an abundant number, since it is smaller than the sum of its proper divisors (907973046).

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

643500234 is a wasteful number, since it uses less digits than its factorization.

643500234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 643500234 is about 25367.3064001679. The cubic root of 643500234 is about 863.3420675943.

The spelling of 643500234 in words is "six hundred forty-three million, five hundred thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 137 234 274 351 411 702 822 1233 1781 2466 3562 3699 5343 6691 7398 10686 13382 16029 20073 32058 40146 48087 60219 86983 96174 120438 173966 180657 260949 361314 521898 782847 916667 1565694 1833334 2348541 2750001 4697082 5500002 8250003 11916671 16500006 23833342 24750009 35750013 49500018 71500026 107250039 214500078 321750117 643500234