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3347483872 = 2517107131439
BaseRepresentation
bin1100011110000110…
…1000110011100000
322122021212210121011
43013201220303200
523323423440442
61312100110304
7145645100125
oct30741506340
98567783534
103347483872
1114686271a7
12795095394
134146993b5
1423a81a74c
15148d32117
hexc7868ce0

3347483872 has 96 divisors (see below), whose sum is σ = 7113173760. Its totient is φ = 1545123840.

The previous prime is 3347483861. The next prime is 3347483899. The reversal of 3347483872 is 2783847433.

It is a super-2 number, since 2×33474838722 = 22411296546600224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7625029 + ... + 7625467.

It is an arithmetic number, because the mean of its divisors is an integer number (74095560).

Almost surely, 23347483872 is an apocalyptic number.

3347483872 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 3347483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556586880).

3347483872 is an abundant number, since it is smaller than the sum of its proper divisors (3765689888).

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

3347483872 is a wasteful number, since it uses less digits than its factorization.

3347483872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 49.

The square root of 3347483872 is about 57857.4443956869. Note that the first 3 decimals coincide. The cubic root of 3347483872 is about 1495.9124077705.

The spelling of 3347483872 in words is "three billion, three hundred forty-seven million, four hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 107 131 136 214 262 272 428 439 524 544 856 878 1048 1712 1756 1819 2096 2227 3424 3512 3638 4192 4454 7024 7276 7463 8908 14017 14048 14552 14926 17816 28034 29104 29852 35632 46973 56068 57509 58208 59704 71264 93946 112136 115018 119408 187892 224272 230036 238289 238816 375784 448544 460072 476578 751568 798541 920144 953156 977653 1503136 1597082 1840288 1906312 1955306 3194164 3812624 3910612 6153463 6388328 7625248 7821224 12306926 12776656 15642448 24613852 25553312 31284896 49227704 98455408 104608871 196910816 209217742 418435484 836870968 1673741936 3347483872