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1012003344 = 24321122412
BaseRepresentation
bin111100010100011…
…111001000010000
32121112021002121100
4330110133020100
54033033101334
6244230424400
734035613032
oct7424371020
92545232540
101012003344
1147a282100
12242b02100
13131880861
1498593c52
155dca2c99
hex3c51f210

1012003344 has 135 divisors (see below), whose sum is σ = 3126054477. Its totient is φ = 305395200.

The previous prime is 1012003337. The next prime is 1012003397. The reversal of 1012003344 is 4433002101.

The square root of 1012003344 is 31812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 761097744 + 250905600 = 27588^2 + 15840^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4199064 + ... + 4199304.

Almost surely, 21012003344 is an apocalyptic number.

1012003344 is the 31812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012003344

1012003344 is an abundant number, since it is smaller than the sum of its proper divisors (2114051133).

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

1012003344 is a wasteful number, since it uses less digits than its factorization.

1012003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 1012003344 is about 1003.9852116571.

Adding to 1012003344 its reverse (4433002101), we get a palindrome (5445005445).

The spelling of 1012003344 in words is "one billion, twelve million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 241 242 264 363 396 482 484 528 723 726 792 964 968 1089 1446 1452 1584 1928 1936 2169 2178 2651 2892 2904 3856 4338 4356 5302 5784 5808 7953 8676 8712 10604 11568 15906 17352 17424 21208 23859 29161 31812 34704 42416 47718 58081 58322 63624 87483 95436 116162 116644 127248 174243 174966 190872 232324 233288 262449 348486 349932 381744 464648 466576 522729 524898 638891 696972 699864 929296 1045458 1049796 1277782 1393944 1399728 1916673 2090916 2099592 2555564 2787888 3833346 4181832 4199184 5111128 5750019 7027801 7666692 8363664 10222256 11500038 14055602 15333384 21083403 23000076 28111204 30666768 42166806 46000152 56222408 63250209 84333612 92000304 112444816 126500418 168667224 253000836 337334448 506001672 1012003344