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1002349998 = 233138317203
BaseRepresentation
bin111011101111101…
…010010110101110
32120212002122201000
4323233222112232
54023100144443
6243243501130
733560556126
oct7357522656
92525078630
101002349998
11474889431
1223b8277a6
1312c880a10
149719dc86
155cee78d3
hex3bbea5ae

1002349998 has 64 divisors (see below), whose sum is σ = 2427828480. Its totient is φ = 304681824.

The previous prime is 1002349981. The next prime is 1002350087. The reversal of 1002349998 is 8999432001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49665 + ... + 66867.

It is an arithmetic number, because the mean of its divisors is an integer number (37934820).

Almost surely, 21002349998 is an apocalyptic number.

1002349998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002349998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213914240).

1002349998 is an abundant number, since it is smaller than the sum of its proper divisors (1425478482).

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

1002349998 is a wasteful number, since it uses less digits than its factorization.

1002349998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17310 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1002349998 is about 31659.9115286193. The cubic root of 1002349998 is about 1000.7827198564.

The spelling of 1002349998 in words is "one billion, two million, three hundred forty-nine thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 234 249 351 498 702 747 1079 1494 2158 2241 3237 4482 6474 9711 17203 19422 29133 34406 51609 58266 103218 154827 223639 309654 447278 464481 670917 928962 1341834 1427849 2012751 2855698 4025502 4283547 6038253 8567094 12076506 12850641 18562037 25701282 37124074 38551923 55686111 77103846 111372222 167058333 334116666 501174999 1002349998