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1006396332 = 2231941199541
BaseRepresentation
bin111011111111000…
…110001110101100
32121010201020020020
4323333012032230
54030114140312
6243510322140
733640141044
oct7377061654
92533636206
101006396332
114770a2507
12241059350
131306696b6
1497934724
155d54678c
hex3bfc63ac

1006396332 has 96 divisors (see below), whose sum is σ = 2549568000. Its totient is φ = 307929600.

The previous prime is 1006396301. The next prime is 1006396343. The reversal of 1006396332 is 2336936001.

It is a junction number, because it is equal to n+sod(n) for n = 1006396293 and 1006396302.

It is an unprimeable number.

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, 1859982 + ... + 1860522.

It is an arithmetic number, because the mean of its divisors is an integer number (26558000).

Almost surely, 21006396332 is an apocalyptic number.

1006396332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006396332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274784000).

1006396332 is an abundant number, since it is smaller than the sum of its proper divisors (1543171668).

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

1006396332 is a wasteful number, since it uses less digits than its factorization.

1006396332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 1006396332 is about 31723.7502827141. The cubic root of 1006396332 is about 1002.1275808561.

The spelling of 1006396332 in words is "one billion, six million, three hundred ninety-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 199 228 246 398 492 541 597 779 796 1082 1194 1558 1623 2164 2337 2388 3116 3246 3781 4674 6492 7562 8159 9348 10279 11343 15124 16318 20558 22181 22686 24477 30837 32636 41116 44362 45372 48954 61674 66543 88724 97908 107659 123348 133086 155021 215318 266172 310042 322977 421439 430636 465063 620084 645954 842878 930126 1264317 1291908 1685756 1860252 2045521 2528634 4091042 4414019 5057268 6136563 8182084 8828038 12273126 13242057 17656076 24546252 26484114 52968228 83866361 167732722 251599083 335465444 503198166 1006396332