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3001243344 = 2431121927197
BaseRepresentation
bin1011001011100011…
…0101011011010000
321202011100221212220
42302320311123100
522121304241334
61213451021040
7134242101411
oct26270653320
97664327786
103001243344
11130013a600
126b913a780
1338aa2b448
1420684b808
1512873c449
hexb2e356d0

3001243344 has 120 divisors (see below), whose sum is σ = 8970988320. Its totient is φ = 861569280.

The previous prime is 3001243319. The next prime is 3001243361. The reversal of 3001243344 is 4433421003.

3001243344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96754 + ... + 123950.

It is an arithmetic number, because the mean of its divisors is an integer number (74758236).

Almost surely, 23001243344 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 3001243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485494160).

3001243344 is an abundant number, since it is smaller than the sum of its proper divisors (5969744976).

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

3001243344 is a wasteful number, since it uses less digits than its factorization.

3001243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27249 (or 27232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3001243344 is about 54783.6047006766. The cubic root of 3001243344 is about 1442.4487886047.

Adding to 3001243344 its reverse (4433421003), we get a palindrome (7434664347).

The spelling of 3001243344 in words is "three billion, one million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27197 27588 36784 54394 55176 81591 108788 110352 163182 217576 299167 326364 435152 516743 598334 652728 897501 1033486 1196668 1305456 1550229 1795002 2066972 2393336 3100458 3290837 3590004 4133944 4786672 5684173 6200916 6581674 7180008 8267888 9872511 11368346 12401832 13163348 14360016 17052519 19745022 22736692 24803664 26326696 34105038 39490044 45473384 52653392 62525903 68210076 78980088 90946768 125051806 136420152 157960176 187577709 250103612 272840304 375155418 500207224 750310836 1000414448 1500621672 3001243344