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3034092544 = 21072173557
BaseRepresentation
bin1011010011011000…
…1001010000000000
321211110011212111221
42310312021100000
522203211430134
61221023044424
7135121234600
oct26466112000
97743155457
103034092544
1113177366aa
12708140714
13394790242
1420ad5cc00
1512b57a5b4
hexb4d89400

3034092544 has 132 divisors (see below), whose sum is σ = 7472589876. Its totient is φ = 1223491584.

The previous prime is 3034092517. The next prime is 3034092563. The reversal of 3034092544 is 4452904303.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1316818944 + 1717273600 = 36288^2 + 41440^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 11 ways as a sum of consecutive naturals, for example, 851214 + ... + 854770.

Almost surely, 23034092544 is an apocalyptic number.

3034092544 is a gapful number since it is divisible by the number (34) 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 3034092544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736294938).

3034092544 is an abundant number, since it is smaller than the sum of its proper divisors (4438497332).

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

3034092544 is a wasteful number, since it uses less digits than its factorization.

3034092544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 3034092544 is about 55082.5974696183. The cubic root of 3034092544 is about 1447.6923331144.

Adding to 3034092544 its reverse (4452904303), we get a palindrome (7486996847).

The spelling of 3034092544 in words is "three billion, thirty-four million, ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 1024 1088 1568 1666 1792 1904 2176 3136 3332 3557 3584 3808 4352 6272 6664 7114 7168 7616 8704 12544 13328 14228 15232 17408 24899 25088 26656 28456 30464 49798 50176 53312 56912 60469 60928 99596 106624 113824 120938 121856 174293 199192 213248 227648 241876 348586 398384 423283 426496 455296 483752 697172 796768 846566 852992 910592 967504 1394344 1593536 1693132 1821184 1935008 2788688 2962981 3187072 3386264 3642368 3870016 5577376 5925962 6374144 6772528 7740032 11154752 11851924 12748288 13545056 15480064 22309504 23703848 25496576 27090112 30960128 44619008 47407696 54180224 61920256 89238016 94815392 108360448 178476032 189630784 216720896 379261568 433441792 758523136 1517046272 3034092544