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3145431240 = 2332572354269
BaseRepresentation
bin1011101101111011…
…0111100011001000
322010012200110111100
42323132313203020
522420212244430
61240041301400
7140642503320
oct27336674310
98105613440
103145431240
111374572056
12739494860
133b1873a23
1421ba62280
1513621e960
hexbb7b78c8

3145431240 has 192 divisors, whose sum is σ = 12191212800. Its totient is φ = 687684096.

The previous prime is 3145431221. The next prime is 3145431251. The reversal of 3145431240 is 421345413.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30826 + ... + 85094.

It is an arithmetic number, because the mean of its divisors is an integer number (63495900).

Almost surely, 23145431240 is an apocalyptic number.

3145431240 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 3145431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095606400).

3145431240 is an abundant number, since it is smaller than the sum of its proper divisors (9045781560).

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

3145431240 is a wasteful number, since it uses less digits than its factorization.

3145431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54316 (or 54309 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3145431240 is about 56084.1442833890. The cubic root of 3145431240 is about 1465.1881535258.

Adding to 3145431240 its reverse (421345413), we get a palindrome (3566776653).

The spelling of 3145431240 in words is "three billion, one hundred forty-five million, four hundred thirty-one thousand, two hundred forty".