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3405006132 = 22311971012633
BaseRepresentation
bin1100101011110100…
…0100010100110100
322210022010020022020
43022331010110310
523433140144012
61321513033140
7150244034403
oct31275042464
98708106266
103405006132
111498045560
127b03b57b0
13423589638
1424431163a
1514dde5a8c
hexcaf44534

3405006132 has 96 divisors (see below), whose sum is σ = 8846699904. Its totient is φ = 1010688000.

The previous prime is 3405006119. The next prime is 3405006149. The reversal of 3405006132 is 2316005043.

It is a happy number.

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, 1291888 + ... + 1294520.

It is an arithmetic number, because the mean of its divisors is an integer number (92153124).

Almost surely, 23405006132 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 3405006132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423349952).

3405006132 is an abundant number, since it is smaller than the sum of its proper divisors (5441693772).

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

3405006132 is a wasteful number, since it uses less digits than its factorization.

3405006132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3405006132 is about 58352.4303864029. The cubic root of 3405006132 is about 1504.4322434681.

The spelling of 3405006132 in words is "three billion, four hundred five million, six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 101 132 194 202 291 303 388 404 582 606 1067 1111 1164 1212 2134 2222 2633 3201 3333 4268 4444 5266 6402 6666 7899 9797 10532 12804 13332 15798 19594 28963 29391 31596 39188 57926 58782 86889 107767 115852 117564 173778 215534 255401 265933 323301 347556 431068 510802 531866 646602 766203 797799 1021604 1063732 1293204 1532406 1595598 2809411 2925263 3064812 3191196 5618822 5850526 8428233 8775789 11237644 11701052 16856466 17551578 25795501 33712932 35103156 51591002 77386503 103182004 154773006 283750511 309546012 567501022 851251533 1135002044 1702503066 3405006132