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3499997040 = 24355435379
BaseRepresentation
bin1101000010011101…
…1011011101110000
3100000220212021100000
43100213123131300
524131444401130
61335145030000
7152506325001
oct32047333560
910026767300
103499997040
111536725641
12818185300
1343a168187
14252b9b1a8
1515740b260
hexd09db770

3499997040 has 480 divisors, whose sum is σ = 12869176320. Its totient is φ = 883104768.

The previous prime is 3499997027. The next prime is 3499997041. The reversal of 3499997040 is 407999943.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3499997041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 44303721 + ... + 44303799.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 23499997040 is an apocalyptic number.

3499997040 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 3499997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434588160).

3499997040 is an abundant number, since it is smaller than the sum of its proper divisors (9369179280).

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

3499997040 is a wasteful number, since it uses less digits than its factorization.

3499997040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3499997040 is about 59160.7728144249. The cubic root of 3499997040 is about 1518.2940579233.

The spelling of 3499997040 in words is "three billion, four hundred ninety-nine million, nine hundred ninety-seven thousand, forty".