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3294070272 = 29326111719
BaseRepresentation
bin1100010001010111…
…1000011000000000
322111120101002220200
43010111320120000
523221240222042
61302511205200
7144426064263
oct30425703000
98446332820
103294070272
111440464829
1277b216800
134065b730c
142336b4cda
151442d0c4c
hexc4578600

3294070272 has 120 divisors (see below), whose sum is σ = 9663585360. Its totient is φ = 1079930880.

The previous prime is 3294070271. The next prime is 3294070277. The reversal of 3294070272 is 2720704923.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3294070271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 275229 + ... + 286947.

It is an arithmetic number, because the mean of its divisors is an integer number (80529878).

Almost surely, 23294070272 is an apocalyptic number.

3294070272 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 3294070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831792680).

3294070272 is an abundant number, since it is smaller than the sum of its proper divisors (6369515088).

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

3294070272 is a wasteful number, since it uses less digits than its factorization.

3294070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11804 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3294070272 is about 57393.9916019090. The cubic root of 3294070272 is about 1487.9132797189.

The spelling of 3294070272 in words is "three billion, two hundred ninety-four million, seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1098 1152 1464 1536 1952 2196 2304 2928 3904 4392 4608 5856 7808 8784 11712 11719 15616 17568 23424 23438 31232 35136 35157 46848 46876 70272 70314 93696 93752 105471 140544 140628 187504 210942 281088 281256 375008 421884 562512 714859 750016 843768 1125024 1429718 1500032 1687536 2144577 2250048 2859436 3000064 3375072 4289154 4500096 5718872 6000128 6433731 6750144 8578308 9000192 11437744 12867462 13500288 17156616 18000384 22875488 25734924 27000576 34313232 45750976 51469848 54001152 68626464 91501952 102939696 137252928 183003904 205879392 274505856 366007808 411758784 549011712 823517568 1098023424 1647035136 3294070272