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3449900080 = 245118294729
BaseRepresentation
bin1100110110100001…
…0100110000110000
322220102121002020001
43031220110300300
524031133300310
61330155155344
7151330444504
oct31550246060
98812532201
103449900080
111510418aa0
12803445b54
1342c9778c3
1424a27a304
15152d1293a
hexcda14c30

3449900080 has 80 divisors (see below), whose sum is σ = 8762608800. Its totient is φ = 1252730880.

The previous prime is 3449900071. The next prime is 3449900081. The reversal of 3449900080 is 800099443.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3449900081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 727156 + ... + 731884.

It is an arithmetic number, because the mean of its divisors is an integer number (109532610).

Almost surely, 23449900080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3449900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381304400).

3449900080 is an abundant number, since it is smaller than the sum of its proper divisors (5312708720).

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

3449900080 is a wasteful number, since it uses less digits than its factorization.

3449900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3449900080 is about 58735.8500406694. The cubic root of 3449900080 is about 1511.0152200942.

The spelling of 3449900080 in words is "three billion, four hundred forty-nine million, nine hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 829 880 1658 3316 4145 4729 6632 8290 9119 9458 13264 16580 18238 18916 23645 33160 36476 37832 45595 47290 52019 66320 72952 75664 91190 94580 104038 145904 182380 189160 208076 260095 364760 378320 416152 520190 729520 832304 1040380 2080760 3920341 4161520 7840682 15681364 19601705 31362728 39203410 43123751 62725456 78406820 86247502 156813640 172495004 215618755 313627280 344990008 431237510 689980016 862475020 1724950040 3449900080