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3494860992 = 263872941
BaseRepresentation
bin1101000001001111…
…0101100011000000
3100000120012100000000
43100103311203000
524124141022432
61334443000000
7152414554050
oct32023654300
910016170000
103494860992
111533837877
12816509000
1343908a4ac
14252221560
15156c4457c
hexd04f58c0

3494860992 has 504 divisors, whose sum is σ = 12598054560. Its totient is φ = 940584960.

The previous prime is 3494860979. The next prime is 3494861009. The reversal of 3494860992 is 2990684943.

3494860992 is a `hidden beast` number, since 3 + 494 + 8 + 60 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 85240492 + ... + 85240532.

It is an arithmetic number, because the mean of its divisors is an integer number (24996140).

Almost surely, 23494860992 is an apocalyptic number.

3494860992 is a gapful number since it is divisible by the number (32) 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 3494860992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299027280).

3494860992 is an abundant number, since it is smaller than the sum of its proper divisors (9103193568).

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

3494860992 is an frugal number, since it uses more digits than its factorization.

3494860992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3494860992 is about 59117.3493316471. The cubic root of 3494860992 is about 1517.5510240889.

The spelling of 3494860992 in words is "three billion, four hundred ninety-four million, eight hundred sixty thousand, nine hundred ninety-two".