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3490054400 = 28527231359
BaseRepresentation
bin1101000000000110…
…0000000100000000
3100000020011010121002
43100001200010000
524121423220100
61334151551132
7152325654500
oct32001400400
910006133532
103490054400
111531054588
1281498b4a8
13438096761
1425172da00
151565e52d5
hexd0060100

3490054400 has 324 divisors, whose sum is σ = 10401834240. Its totient is φ = 1154764800.

The previous prime is 3490054367. The next prime is 3490054411. The reversal of 3490054400 is 44500943.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9721421 + ... + 9721779.

Almost surely, 23490054400 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 3490054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200917120).

3490054400 is an abundant number, since it is smaller than the sum of its proper divisors (6911779840).

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

3490054400 is a wasteful number, since it uses less digits than its factorization.

3490054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3490054400 is about 59076.6823713045. The cubic root of 3490054400 is about 1516.8549930509.

The spelling of 3490054400 in words is "three billion, four hundred ninety million, fifty-four thousand, four hundred".