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3323697472 = 26174174509
BaseRepresentation
bin1100011000011011…
…1001100101000000
322120122010022210101
43012012321211000
523301331304342
61305450212144
7145235651044
oct30606714500
98518108711
103323697472
111456160117
12789124054
1340c78b6c4
142375c8024
15146bd43b7
hexc61b9940

3323697472 has 56 divisors (see below), whose sum is σ = 7153854120. Its totient is φ = 1525923840.

The previous prime is 3323697467. The next prime is 3323697497. The reversal of 3323697472 is 2747963233.

It can be written as a sum of positive squares in 4 ways, for example, as 22505536 + 3301191936 = 4744^2 + 57456^2 .

It is a super-2 number, since 2×33236974722 = 22093929770758381568, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7354 + ... + 81862.

It is an arithmetic number, because the mean of its divisors is an integer number (127747395).

Almost surely, 23323697472 is an apocalyptic number.

3323697472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576927060).

3323697472 is an abundant number, since it is smaller than the sum of its proper divisors (3830156648).

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

3323697472 is a wasteful number, since it uses less digits than its factorization.

3323697472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74579 (or 74569 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 46.

The square root of 3323697472 is about 57651.5175168876. The cubic root of 3323697472 is about 1492.3607864713.

The spelling of 3323697472 in words is "three billion, three hundred twenty-three million, six hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 11152 22304 44608 74509 149018 298036 596072 1192144 1266653 2384288 2533306 3054869 4768576 5066612 6109738 10133224 12219476 20266448 24438952 40532896 48877904 51932773 81065792 97755808 103865546 195511616 207731092 415462184 830924368 1661848736 3323697472