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3253305344 = 215101983
BaseRepresentation
bin1100000111101001…
…1000000000000000
322101201200000221112
43001322120000000
523130321232334
61254453342452
7143422432142
oct30172300000
98351600845
103253305344
11141a451503
12769637a28
133cb013563
1422c102c92
1514092c4ce
hexc1e98000

3253305344 has 64 divisors (see below), whose sum is σ = 6577616880. Its totient is φ = 1608908800.

The previous prime is 3253305337. The next prime is 3253305373. The reversal of 3253305344 is 4435033523.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×32533053442 = 21167991322597916672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3253305344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3309077 + ... + 3310059.

Almost surely, 23253305344 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 3253305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288808440).

3253305344 is an abundant number, since it is smaller than the sum of its proper divisors (3324311536).

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

3253305344 is an frugal number, since it uses more digits than its factorization.

3253305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 32.

The square root of 3253305344 is about 57037.7536724580. The cubic root of 3253305344 is about 1481.7500214280.

Adding to 3253305344 its reverse (4435033523), we get a palindrome (7688338867).

The spelling of 3253305344 in words is "three billion, two hundred fifty-three million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 983 1024 1616 1966 2048 3232 3932 4096 6464 7864 8192 12928 15728 16384 25856 31456 32768 51712 62912 99283 103424 125824 198566 206848 251648 397132 413696 503296 794264 827392 1006592 1588528 1654784 2013184 3177056 3309568 4026368 6354112 8052736 12708224 16105472 25416448 32210944 50832896 101665792 203331584 406663168 813326336 1626652672 3253305344