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1002413334 = 231331243311
BaseRepresentation
bin111011101111111…
…001110100010110
32120212012212120210
4323233321310112
54023104211314
6243245110250
733561241566
oct7357716426
92525185523
101002413334
11474921a7a
1223b858386
1312c8a37b0
14971b8da6
155d00b559
hex3bbf9d16

1002413334 has 96 divisors (see below), whose sum is σ = 2290159872. Its totient is φ = 290606400.

The previous prime is 1002413329. The next prime is 1002413341. The reversal of 1002413334 is 4333142001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002413334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3223039 + ... + 3223349.

It is an arithmetic number, because the mean of its divisors is an integer number (23855832).

Almost surely, 21002413334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002413334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145079936).

1002413334 is an abundant number, since it is smaller than the sum of its proper divisors (1287746538).

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

1002413334 is a wasteful number, since it uses less digits than its factorization.

1002413334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 403 counting only the distinct ones).

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

The square root of 1002413334 is about 31660.9117682988. The cubic root of 1002413334 is about 1000.8037984017.

Adding to 1002413334 its reverse (4333142001), we get a palindrome (5335555335).

The spelling of 1002413334 in words is "one billion, two million, four hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 43 62 78 86 93 129 186 258 311 403 559 622 806 933 961 1118 1209 1333 1677 1866 1922 2418 2666 2883 3354 3999 4043 5766 7998 8086 9641 12129 12493 13373 17329 19282 24258 24986 26746 28923 34658 37479 40119 41323 51987 57846 74958 80238 82646 103974 123969 125333 173849 247938 250666 298871 347698 375999 414563 521547 537199 597742 751998 829126 896613 1043094 1074398 1243689 1611597 1793226 2487378 3223194 3885323 5389319 7770646 10778638 11655969 12851453 16167957 23311938 25702906 32335914 38554359 77108718 167068889 334137778 501206667 1002413334