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4075034400 = 253352832273
BaseRepresentation
bin1111001011100100…
…0001011100100000
3101111222220012022000
43302321001130200
531321202100100
61512210044000
7202661135523
oct36271013440
911458805260
104075034400
111801283728
12958879600
134cc333878
142a92c6bba
1518cb47900
hexf2e41720

4075034400 has 288 divisors, whose sum is σ = 14922169920. Its totient is φ = 1073111040.

The previous prime is 4075034399. The next prime is 4075034401. The reversal of 4075034400 is 44305704.

It is an interprime number because it is at equal distance from previous prime (4075034399) and next prime (4075034401).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40750344002 = 33211810722366720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075034401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791664 + ... + 1793936.

It is an arithmetic number, because the mean of its divisors is an integer number (51813090).

Almost surely, 24075034400 is an apocalyptic number.

4075034400 is a gapful number since it is divisible by the number (40) 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 4075034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461084960).

4075034400 is an abundant number, since it is smaller than the sum of its proper divisors (10847135520).

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

4075034400 is a wasteful number, since it uses less digits than its factorization.

4075034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4075034400 is about 63835.9961150447. The cubic root of 4075034400 is about 1597.2654331694.

The spelling of 4075034400 in words is "four billion, seventy-five million, thirty-four thousand, four hundred".