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3040573440 = 21135293413
BaseRepresentation
bin1011010100111011…
…0111100000000000
321211220101010122010
42311032313200000
522211341322230
61221414012520
7135230306412
oct26516674000
97756333563
103040573440
111320362913
1270a347140
13395c1c0a8
1420bb689b2
1512be0a9b0
hexb53b7800

3040573440 has 192 divisors, whose sum is σ = 10065837600. Its totient is φ = 782630912.

The previous prime is 3040573429. The next prime is 3040573447. The reversal of 3040573440 is 443750403.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3040573398 and 3040573407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040573447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889174 + ... + 892586.

Almost surely, 23040573440 is an apocalyptic number.

3040573440 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 3040573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032918800).

3040573440 is an abundant number, since it is smaller than the sum of its proper divisors (7025264160).

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

3040573440 is a wasteful number, since it uses less digits than its factorization.

3040573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 3040573440 is about 55141.3949769137. The cubic root of 3040573440 is about 1448.7223688308.

The spelling of 3040573440 in words is "three billion, forty million, five hundred seventy-three thousand, four hundred forty".