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3344445666 = 2331717920353
BaseRepresentation
bin1100011101011000…
…0011000011100010
322122002011102222000
43013112003003202
523322134230131
61311511024430
7145610214312
oct30726030342
98562142860
103344445666
111466941591
1279406b116
13413b74543
1423a269442
15148931ce6
hexc75830e2

3344445666 has 64 divisors (see below), whose sum is σ = 7913635200. Its totient is φ = 1043324928.

The previous prime is 3344445661. The next prime is 3344445667. The reversal of 3344445666 is 6665444433.

It is a super-2 number, since 2×33444456662 = 22370633625652367112, which contains 22 as substring.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (3344445661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154146 + ... + 174498.

It is an arithmetic number, because the mean of its divisors is an integer number (123650550).

Almost surely, 23344445666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344445666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956817600).

3344445666 is an abundant number, since it is smaller than the sum of its proper divisors (4569189534).

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

3344445666 is a wasteful number, since it uses less digits than its factorization.

3344445666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20560 (or 20554 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The square root of 3344445666 is about 57831.1824710510. The cubic root of 3344445666 is about 1495.4597030014.

The spelling of 3344445666 in words is "three billion, three hundred forty-four million, four hundred forty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 179 306 358 459 537 918 1074 1611 3043 3222 4833 6086 9129 9666 18258 20353 27387 40706 54774 61059 82161 122118 164322 183177 346001 366354 549531 692002 1038003 1099062 2076006 3114009 3643187 6228018 7286374 9342027 10929561 18684054 21859122 32788683 61934179 65577366 98366049 123868358 185802537 196732098 371605074 557407611 1114815222 1672222833 3344445666