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3412113140 = 225238971413
BaseRepresentation
bin1100101101100000…
…1011011011110100
322210210111022021202
43023120023123310
523442000110030
61322325232032
7150361324502
oct31330133364
98723438252
103412113140
1114a105a117
127b2862618
13424ba7477
14245241672
1514e84b745
hexcb60b6f4

3412113140 has 24 divisors (see below), whose sum is σ = 7168537320. Its totient is φ = 1364254848.

The previous prime is 3412113121. The next prime is 3412113143. The reversal of 3412113140 is 413112143.

It can be written as a sum of positive squares in 4 ways, for example, as 107702884 + 3304410256 = 10378^2 + 57484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412113143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12074 + ... + 83486.

It is an arithmetic number, because the mean of its divisors is an integer number (298689055).

Almost surely, 23412113140 is an apocalyptic number.

It is an amenable number.

3412113140 is an abundant number, since it is smaller than the sum of its proper divisors (3756424180).

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

3412113140 is a wasteful number, since it uses less digits than its factorization.

3412113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73811 (or 73809 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3412113140 is about 58413.2959179672. The cubic root of 3412113140 is about 1505.4782114064.

Adding to 3412113140 its reverse (413112143), we get a palindrome (3825225283).

The spelling of 3412113140 in words is "three billion, four hundred twelve million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2389 4778 9556 11945 23890 47780 71413 142826 285652 357065 714130 1428260 170605657 341211314 682422628 853028285 1706056570 3412113140