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3409535248 = 247531409
BaseRepresentation
bin1100101100111001…
…0110000100010000
322210121122100002021
43023032112010100
523440320111443
61322154101224
7150330400000
oct31316260420
98717570067
103409535248
11149a659329
127b1a1a814
134244b3ca2
14244b70000
1514e4dc9ed
hexcb396110

3409535248 has 120 divisors (see below), whose sum is σ = 7974965760. Its totient is φ = 1410635520.

The previous prime is 3409535219. The next prime is 3409535251. The reversal of 3409535248 is 8425359043.

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 23 ways as a sum of consecutive naturals, for example, 8336068 + ... + 8336476.

It is an arithmetic number, because the mean of its divisors is an integer number (66458048).

Almost surely, 23409535248 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 3409535248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987482880).

3409535248 is an abundant number, since it is smaller than the sum of its proper divisors (4565430512).

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

3409535248 is an frugal number, since it uses more digits than its factorization.

3409535248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The square root of 3409535248 is about 58391.2257792213. The cubic root of 3409535248 is about 1505.0989803299.

The spelling of 3409535248 in words is "three billion, four hundred nine million, five hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 343 392 409 434 496 686 784 818 868 1372 1519 1636 1736 2401 2744 2863 3038 3272 3472 4802 5488 5726 6076 6544 9604 10633 11452 12152 12679 16807 19208 20041 21266 22904 24304 25358 33614 38416 40082 42532 45808 50716 67228 74431 80164 85064 88753 101432 134456 140287 148862 160328 170128 177506 202864 268912 280574 297724 320656 355012 521017 561148 595448 621271 710024 982009 1042034 1122296 1190896 1242542 1420048 1964018 2084068 2244592 2485084 3928036 4168136 4348897 4970168 6874063 7856072 8336272 8697794 9940336 13748126 15712144 17395588 27496252 30442279 34791176 54992504 60884558 69582352 109985008 121769116 213095953 243538232 426191906 487076464 852383812 1704767624 3409535248