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3412033540 = 2251091565153
BaseRepresentation
bin1100101101011111…
…1000000000000100
322210210100021002121
43023113320000010
523441440033130
61322323415324
7150360543436
oct31327700004
98723307077
103412033540
1114a1005333
127b2824544
13424b7a176
14245220656
1514e832d7a
hexcb5f8004

3412033540 has 24 divisors (see below), whose sum is σ = 7231011480. Its totient is φ = 1352291328.

The previous prime is 3412033487. The next prime is 3412033553. The reversal of 3412033540 is 453302143.

It can be written as a sum of positive squares in 4 ways, for example, as 147282496 + 3264751044 = 12136^2 + 57138^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780397 + ... + 784756.

It is an arithmetic number, because the mean of its divisors is an integer number (301292145).

Almost surely, 23412033540 is an apocalyptic number.

It is an amenable number.

3412033540 is an abundant number, since it is smaller than the sum of its proper divisors (3818977940).

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

3412033540 is a wasteful number, since it uses less digits than its factorization.

3412033540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565271 (or 1565269 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3412033540 is about 58412.6145622673. The cubic root of 3412033540 is about 1505.4665043897.

Adding to 3412033540 its reverse (453302143), we get a palindrome (3865335683).

The spelling of 3412033540 in words is "three billion, four hundred twelve million, thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 1565153 3130306 6260612 7825765 15651530 31303060 170601677 341203354 682406708 853008385 1706016770 3412033540