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3373232128 = 21277
BaseRepresentation
bin1100100100001111…
…0111000000000000
322201002022221120021
43021003313000000
523402021412003
61314420023224
7146410000000
oct31103670000
98632287507
103373232128
111481113252
127a1831b14
13419b13056
14240000000
1514b21b2bd
hexc90f7000

3373232128 has 104 divisors (see below), whose sum is σ = 7869912800. Its totient is φ = 1445670912.

The previous prime is 3373232101. The next prime is 3373232131. The reversal of 3373232128 is 8212323733.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×33732321282 = 22757389978742816768, which contains 22 as substring.

Its product of digits (36288) is a multiple of the sum of its prime divisors (9).

It is a junction number, because it is equal to n+sod(n) for n = 3373232093 and 3373232102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481890301 + ... + 481890307.

Almost surely, 23373232128 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 3373232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934956400).

3373232128 is an abundant number, since it is smaller than the sum of its proper divisors (4496680672).

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

3373232128 is an frugal number, since it uses more digits than its factorization.

3373232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 9 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 3373232128 is about 58079.5327804899. The cubic root of 3373232128 is about 1499.7380472936.

Multiplying 3373232128 by its product of digits (36288), we get a square (122407847460864 = 110638082).

The spelling of 3373232128 in words is "three billion, three hundred seventy-three million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 9604 10976 12544 14336 16807 19208 21952 25088 28672 33614 38416 43904 50176 67228 76832 87808 100352 117649 134456 153664 175616 200704 235298 268912 307328 351232 470596 537824 614656 702464 823543 941192 1075648 1229312 1404928 1647086 1882384 2151296 2458624 3294172 3764768 4302592 4917248 6588344 7529536 8605184 9834496 13176688 15059072 17210368 26353376 30118144 34420736 52706752 60236288 68841472 105413504 120472576 210827008 240945152 421654016 481890304 843308032 1686616064 3373232128