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3463494840 = 23325133123873
BaseRepresentation
bin1100111001110000…
…1011110010111000
322221101011202201200
43032130023302320
524043123313330
61331402414200
7151554135411
oct31634136270
98841152650
103463494840
111518063a33
12807b01360
13432727740
1424bdb8808
151540eaa60
hexce70bcb8

3463494840 has 192 divisors, whose sum is σ = 12513795840. Its totient is φ = 825016320.

The previous prime is 3463494829. The next prime is 3463494869. The reversal of 3463494840 is 484943643.

It is a happy number.

3463494840 is a `hidden beast` number, since 3 + 4 + 634 + 9 + 4 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133144 + ... + 157016.

It is an arithmetic number, because the mean of its divisors is an integer number (65176020).

Almost surely, 23463494840 is an apocalyptic number.

3463494840 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 3463494840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256897920).

3463494840 is an abundant number, since it is smaller than the sum of its proper divisors (9050301000).

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

3463494840 is a wasteful number, since it uses less digits than its factorization.

3463494840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23934 (or 23927 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3463494840 is about 58851.4642128809. The cubic root of 3463494840 is about 1512.9973997798.

The spelling of 3463494840 in words is "three billion, four hundred sixty-three million, four hundred ninety-four thousand, eight hundred forty".