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3073390344 = 2333312771657
BaseRepresentation
bin1011011100110000…
…0011011100001000
321221012010101222000
42313030003130020
522243241442334
61224545231000
7136106246463
oct26714033410
97835111860
103073390344
111337937722
12719332460
1339c96c28b
1421226c2da
1512ec3e299
hexb7303708

3073390344 has 128 divisors (see below), whose sum is σ = 8849740800. Its totient is φ = 987240960.

The previous prime is 3073390343. The next prime is 3073390349. The reversal of 3073390344 is 4430933703.

3073390344 is a `hidden beast` number, since 307 + 3 + 3 + 9 + 0 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3073390299 and 3073390308.

It is not an unprimeable number, because it can be changed into a prime (3073390343) 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, 1853964 + ... + 1855620.

It is an arithmetic number, because the mean of its divisors is an integer number (69138600).

Almost surely, 23073390344 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 3073390344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424870400).

3073390344 is an abundant number, since it is smaller than the sum of its proper divisors (5776350456).

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

3073390344 is a wasteful number, since it uses less digits than its factorization.

3073390344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3073390344 is about 55438.1668528100. The cubic root of 3073390344 is about 1453.9157487161.

The spelling of 3073390344 in words is "three billion, seventy-three million, three hundred ninety thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 277 279 372 554 558 744 831 837 1108 1116 1657 1662 1674 2216 2232 2493 3314 3324 3348 4971 4986 6628 6648 6696 7479 8587 9942 9972 13256 14913 14958 17174 19884 19944 25761 29826 29916 34348 39768 44739 51367 51522 59652 59832 68696 77283 89478 102734 103044 119304 154101 154566 178956 205468 206088 231849 308202 309132 357912 410936 458989 462303 463698 616404 618264 917978 924606 927396 1232808 1376967 1386909 1835956 1849212 1854792 2753934 2773818 3671912 3698424 4130901 5507868 5547636 8261802 11015736 11095272 12392703 14228659 16523604 24785406 28457318 33047208 42685977 49570812 56914636 85371954 99141624 113829272 128057931 170743908 256115862 341487816 384173793 512231724 768347586 1024463448 1536695172 3073390344