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3142403040 = 253573130169
BaseRepresentation
bin1011101101001101…
…0100001111100000
322002222222121120210
42323103110033200
522413423344130
61235452334120
7140604661620
oct27323241740
98088877523
103142403040
111372893a07
12738474340
133b10535aa
1421b4b4880
15135d225b0
hexbb4d43e0

3142403040 has 192 divisors, whose sum is σ = 11677962240. Its totient is φ = 695070720.

The previous prime is 3142403021. The next prime is 3142403059. The reversal of 3142403040 is 403042413.

3142403040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3142403021) and next prime (3142403059).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3142402998 and 3142403016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89076 + ... + 119244.

It is an arithmetic number, because the mean of its divisors is an integer number (60822720).

Almost surely, 23142403040 is an apocalyptic number.

3142403040 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 3142403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838981120).

3142403040 is an abundant number, since it is smaller than the sum of its proper divisors (8535559200).

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

3142403040 is a wasteful number, since it uses less digits than its factorization.

3142403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30225 (or 30217 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3142403040 is about 56057.1408475316. The cubic root of 3142403040 is about 1464.7178091830.

Adding to 3142403040 its reverse (403042413), we get a palindrome (3545445453).

The spelling of 3142403040 in words is "three billion, one hundred forty-two million, four hundred three thousand, forty".