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3441256224 = 253737313729
BaseRepresentation
bin1100110100011101…
…0110011100100000
322212211022221002020
43031013112130200
524021430144344
61325250021440
7151164123660
oct31507263440
98784287066
103441256224
11150655480a
12800577880
1342ac3c3b3
1424906a1a0
151521a6719
hexcd1d6720

3441256224 has 96 divisors (see below), whose sum is σ = 10352200320. Its totient is φ = 980508672.

The previous prime is 3441256223. The next prime is 3441256237. The reversal of 3441256224 is 4226521443.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3441256223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243792 + ... + 257520.

It is an arithmetic number, because the mean of its divisors is an integer number (107835420).

Almost surely, 23441256224 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 3441256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176100160).

3441256224 is an abundant number, since it is smaller than the sum of its proper divisors (6910944096).

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

3441256224 is a wasteful number, since it uses less digits than its factorization.

3441256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14114 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 3441256224 is about 58662.2214376510. The cubic root of 3441256224 is about 1509.7521959332.

Adding to 3441256224 its reverse (4226521443), we get a palindrome (7667777667).

The spelling of 3441256224 in words is "three billion, four hundred forty-one million, two hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 373 672 746 1119 1492 2238 2611 2984 4476 5222 5968 7833 8952 10444 11936 13729 15666 17904 20888 27458 31332 35808 41187 41776 54916 62664 82374 83552 96103 109832 125328 164748 192206 219664 250656 288309 329496 384412 439328 576618 658992 768824 1153236 1317984 1537648 2306472 3075296 4612944 5120917 9225888 10241834 15362751 20483668 30725502 35846419 40967336 61451004 71692838 81934672 107539257 122902008 143385676 163869344 215078514 245804016 286771352 430157028 491608032 573542704 860314056 1147085408 1720628112 3441256224