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1001433342 = 2371319372609
BaseRepresentation
bin111011101100001…
…010100011111110
32120210101002021210
4323230022203332
54022331331332
6243212105250
733550020510
oct7354124376
92523332253
101001433342
11474312768
1223b465226
1312c61c710
1497001bb0
155cdb5ecc
hex3bb0a8fe

1001433342 has 128 divisors (see below), whose sum is σ = 2665958400. Its totient is φ = 243357696.

The previous prime is 1001433341. The next prime is 1001433347. The reversal of 1001433342 is 2433341001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001433341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382534 + ... + 385142.

It is an arithmetic number, because the mean of its divisors is an integer number (20827800).

Almost surely, 21001433342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001433342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332979200).

1001433342 is an abundant number, since it is smaller than the sum of its proper divisors (1664525058).

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

1001433342 is a wasteful number, since it uses less digits than its factorization.

1001433342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1001433342 is about 31645.4316134257. The cubic root of 1001433342 is about 1000.4775525739.

Adding to 1001433342 its reverse (2433341001), we get a palindrome (3434774343).

The spelling of 1001433342 in words is "one billion, one million, four hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 37 38 39 42 57 74 78 91 111 114 133 182 222 247 259 266 273 399 481 494 518 546 703 741 777 798 962 1406 1443 1482 1554 1729 2109 2609 2886 3367 3458 4218 4921 5187 5218 6734 7827 9139 9842 10101 10374 14763 15654 18263 18278 20202 27417 29526 33917 36526 49571 54789 54834 63973 67834 96533 99142 101751 109578 127946 148713 191919 193066 203502 237419 289599 297426 346997 383838 474838 579198 644423 675731 693994 712257 1040991 1254929 1288846 1351462 1424514 1834127 1933269 2027193 2081982 2509858 3668254 3764787 3866538 4054386 4510961 5502381 7529574 8784503 9021922 11004762 12838889 13532883 17569006 23843651 25677778 26353509 27065766 38516667 47687302 52707018 71530953 77033334 143061906 166905557 333811114 500716671 1001433342