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3449307444 = 22311294332081
BaseRepresentation
bin1100110110011000…
…0100000100110100
322220101110222021120
43031212010010310
524031010314234
61330134343540
7151322425632
oct31546040464
98811428246
103449307444
111510053810
128031babb0
1342c7cac2b
1424a164352
15152c47049
hexcd984134

3449307444 has 96 divisors (see below), whose sum is σ = 9108167040. Its totient is φ = 1006387200.

The previous prime is 3449307431. The next prime is 3449307461. The reversal of 3449307444 is 4447039443.

It is a junction number, because it is equal to n+sod(n) for n = 3449307396 and 3449307405.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1656484 + ... + 1658564.

It is an arithmetic number, because the mean of its divisors is an integer number (94876740).

Almost surely, 23449307444 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 3449307444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554083520).

3449307444 is an abundant number, since it is smaller than the sum of its proper divisors (5658859596).

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

3449307444 is a wasteful number, since it uses less digits than its factorization.

3449307444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The square root of 3449307444 is about 58730.8048982814. The cubic root of 3449307444 is about 1510.9286926319.

The spelling of 3449307444 in words is "three billion, four hundred forty-nine million, three hundred seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 433 638 866 957 1276 1299 1732 1914 2081 2598 3828 4162 4763 5196 6243 8324 9526 12486 12557 14289 19052 22891 24972 25114 28578 37671 45782 50228 57156 60349 68673 75342 91564 120698 137346 138127 150684 181047 241396 274692 276254 362094 414381 552508 663839 724188 828762 901073 1327678 1657524 1802146 1991517 2655356 2703219 3604292 3983034 5406438 7966068 9911803 10812876 19823606 26131117 29735409 39647212 52262234 59470818 78393351 104524468 118941636 156786702 287442287 313573404 574884574 862326861 1149769148 1724653722 3449307444