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1002341868 = 22311431371289
BaseRepresentation
bin111011101111101…
…000010111101100
32120212002020112220
4323233220113230
54023044414433
6243243355340
733560523333
oct7357502754
92525066486
101002341868
11474883310
1223b822b50
1312c87a0c8
149719ad1a
155cee52b3
hex3bbe85ec

1002341868 has 96 divisors (see below), whose sum is σ = 2631847680. Its totient is φ = 294282240.

The previous prime is 1002341843. The next prime is 1002341869. The reversal of 1002341868 is 8681432001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1002341869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776968 + ... + 778256.

It is an arithmetic number, because the mean of its divisors is an integer number (27415080).

Almost surely, 21002341868 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 1002341868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315923840).

1002341868 is an abundant number, since it is smaller than the sum of its proper divisors (1629505812).

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

1002341868 is a wasteful number, since it uses less digits than its factorization.

1002341868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1002341868 is about 31659.7831325485. The cubic root of 1002341868 is about 1000.7800140865.

Adding to 1002341868 its reverse (8681432001), we get a palindrome (9683773869).

The spelling of 1002341868 in words is "one billion, two million, three hundred forty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 137 172 258 274 411 473 516 548 822 946 1289 1419 1507 1644 1892 2578 2838 3014 3867 4521 5156 5676 5891 6028 7734 9042 11782 14179 15468 17673 18084 23564 28358 35346 42537 55427 56716 64801 70692 85074 110854 129602 166281 170148 176593 194403 221708 259204 332562 353186 388806 529779 609697 665124 706372 777612 1059558 1219394 1829091 1942523 2119116 2438788 3658182 3885046 5827569 7316364 7593499 7770092 11655138 15186998 22780497 23310276 30373996 45560994 83528489 91121988 167056978 250585467 334113956 501170934 1002341868