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3445145040 = 243514354771
BaseRepresentation
bin1100110101011000…
…1011110111010000
322220002122111112110
43031112023313100
524023424120130
61325505225320
7151242151431
oct31526136720
98802574473
103445145040
111508770507
12801932240
1342b9a147c
1424979d488
151526c3ab0
hexcd58bdd0

3445145040 has 40 divisors (see below), whose sum is σ = 10679950368. Its totient is φ = 918705280.

The previous prime is 3445145003. The next prime is 3445145057. The reversal of 3445145040 is 405415443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3445144989 and 3445145007.

It is a congruent number.

It is an unprimeable number.

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, 7177146 + ... + 7177625.

Almost surely, 23445145040 is an apocalyptic number.

3445145040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3445145040 is an abundant number, since it is smaller than the sum of its proper divisors (7234805328).

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

3445145040 is a wasteful number, since it uses less digits than its factorization.

3445145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354787 (or 14354781 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3445145040 is about 58695.3579084411. The cubic root of 3445145040 is about 1510.3206839042.

The spelling of 3445145040 in words is "three billion, four hundred forty-five million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14354771 28709542 43064313 57419084 71773855 86128626 114838168 143547710 172257252 215321565 229676336 287095420 344514504 430643130 574190840 689029008 861286260 1148381680 1722572520 3445145040