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3449394540 = 2232573262511
BaseRepresentation
bin1100110110011001…
…1001010101101100
322220101122101202100
43031212121111230
524031021111130
61330140255100
7151323240564
oct31546312554
98811571670
103449394540
111510103199
12803241490
1342c82b777
1424a187da4
15152c62c60
hexcd99956c

3449394540 has 72 divisors (see below), whose sum is σ = 10606534848. Its totient is φ = 907234560.

The previous prime is 3449394499. The next prime is 3449394541. The reversal of 3449394540 is 454939443.

3449394540 is a `hidden beast` number, since 34 + 49 + 39 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3449394541) 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 23 ways as a sum of consecutive naturals, for example, 118116 + ... + 144395.

It is an arithmetic number, because the mean of its divisors is an integer number (147312984).

Almost surely, 23449394540 is an apocalyptic number.

3449394540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3449394540 is an abundant number, since it is smaller than the sum of its proper divisors (7157140308).

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

3449394540 is a wasteful number, since it uses less digits than its factorization.

3449394540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262599 (or 262594 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3449394540 is about 58731.5463784157. The cubic root of 3449394540 is about 1510.9414096521.

The spelling of 3449394540 in words is "three billion, four hundred forty-nine million, three hundred ninety-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 262511 525022 787533 1050044 1312555 1575066 2362599 2625110 3150132 3937665 4725198 5250220 7875330 9450396 11812995 15750660 19163303 23625990 38326606 47251980 57489909 76653212 95816515 114979818 172469727 191633030 229959636 287449545 344939454 383266060 574899090 689878908 862348635 1149798180 1724697270 3449394540