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3433810668 = 2232315182393
BaseRepresentation
bin1100110010101011…
…1100101011101100
322212022022122200220
43030222330223230
524013023420133
61324422251340
7151043623551
oct31452745354
98768278626
103433810668
111502329862
127b9b86b50
13429533442
1424808ca28
151516d55b3
hexccabcaec

3433810668 has 48 divisors (see below), whose sum is σ = 8416052736. Its totient is φ = 1087574400.

The previous prime is 3433810661. The next prime is 3433810673. The reversal of 3433810668 is 8660183343.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3433810661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480 + ... + 82872.

It is an arithmetic number, because the mean of its divisors is an integer number (175334432).

Almost surely, 23433810668 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 3433810668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208026368).

3433810668 is an abundant number, since it is smaller than the sum of its proper divisors (4982242068).

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

3433810668 is a wasteful number, since it uses less digits than its factorization.

3433810668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82574 (or 82572 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3433810668 is about 58598.7258223248. The cubic root of 3433810668 is about 1508.6625685244.

The spelling of 3433810668 in words is "three billion, four hundred thirty-three million, eight hundred ten thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 151 276 302 453 604 906 1812 3473 6946 10419 13892 20838 41676 82393 164786 247179 329572 494358 988716 1895039 3790078 5685117 7580156 11370234 12441343 22740468 24882686 37324029 49765372 74648058 149296116 286150889 572301778 858452667 1144603556 1716905334 3433810668