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3485053344 = 2531071572161
BaseRepresentation
bin1100111110111001…
…1011000110100000
322222212202001102210
43033232123012200
524114133201334
61333452442120
7152235315243
oct31756330640
98885661383
103485053344
111529249183
12813179340
13437035356
14250bcb25a
15155e585e9
hexcfb9b1a0

3485053344 has 96 divisors (see below), whose sum is σ = 9296876736. Its totient is φ = 1142968320.

The previous prime is 3485053343. The next prime is 3485053349. The reversal of 3485053344 is 4433505843.

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 (3485053343) 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 15 ways as a sum of consecutive naturals, for example, 1611624 + ... + 1613784.

It is an arithmetic number, because the mean of its divisors is an integer number (96842466).

Almost surely, 23485053344 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 3485053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648438368).

3485053344 is an abundant number, since it is smaller than the sum of its proper divisors (5811823392).

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

3485053344 is a wasteful number, since it uses less digits than its factorization.

3485053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The square root of 3485053344 is about 59034.3403791386. The cubic root of 3485053344 is about 1516.1301234488.

The spelling of 3485053344 in words is "three billion, four hundred eighty-five million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 157 214 314 321 428 471 628 642 856 942 1256 1284 1712 1884 2161 2512 2568 3424 3768 4322 5024 5136 6483 7536 8644 10272 12966 15072 16799 17288 25932 33598 34576 50397 51864 67196 69152 100794 103728 134392 201588 207456 231227 268784 339277 403176 462454 537568 678554 693681 806352 924908 1017831 1357108 1387362 1612704 1849816 2035662 2714216 2774724 3699632 4071324 5428432 5549448 7399264 8142648 10856864 11098896 16285296 22197792 32570592 36302639 72605278 108907917 145210556 217815834 290421112 435631668 580842224 871263336 1161684448 1742526672 3485053344