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3480506352 = 243267360749
BaseRepresentation
bin1100111101110100…
…0100111111110000
322222120012001010200
43033131010333300
524112002200402
61333211155200
7152151546561
oct31735047760
98876161120
103480506352
111526722a34
12811745b00
1343610281b
14250366168
1515585b21c
hexcf744ff0

3480506352 has 60 divisors (see below), whose sum is σ = 9885993000. Its totient is φ = 1142849664.

The previous prime is 3480506327. The next prime is 3480506353. The reversal of 3480506352 is 2536050843.

It is a happy number.

It is a super-2 number, since 2×34805063522 = 24227848932624695808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480506353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170727 + ... + 190022.

It is an arithmetic number, because the mean of its divisors is an integer number (164766550).

Almost surely, 23480506352 is an apocalyptic number.

It is an amenable number.

3480506352 is an abundant number, since it is smaller than the sum of its proper divisors (6405486648).

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

3480506352 is a wasteful number, since it uses less digits than its factorization.

3480506352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360830 (or 360821 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3480506352 is about 58995.8163940461. The cubic root of 3480506352 is about 1515.4704652654.

The spelling of 3480506352 in words is "three billion, four hundred eighty million, five hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 360749 721498 1082247 1442996 2164494 2885992 3246741 4328988 5771984 6493482 8657976 12986964 17315952 24170183 25973928 48340366 51947856 72510549 96680732 145021098 193361464 217531647 290042196 386722928 435063294 580084392 870126588 1160168784 1740253176 3480506352