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1098306336 = 25323947869
BaseRepresentation
bin100000101110110…
…1101001100100000
32211112122202001110
41001131231030200
54222131300321
6300552303320
736134310201
oct10135551440
92745582043
101098306336
11513a68896
122679a1b40
13146709b0a
14a5c1b5a8
156664e176
hex4176d320

1098306336 has 48 divisors (see below), whose sum is σ = 2895177600. Its totient is φ = 364562688.

The previous prime is 1098306331. The next prime is 1098306359. The reversal of 1098306336 is 6336038901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1098306294 and 1098306303.

It is not an unprimeable number, because it can be changed into a prime (1098306331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991 + ... + 46878.

It is an arithmetic number, because the mean of its divisors is an integer number (60316200).

Almost surely, 21098306336 is an apocalyptic number.

1098306336 is a gapful number since it is divisible by the number (16) 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 1098306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447588800).

1098306336 is an abundant number, since it is smaller than the sum of its proper divisors (1796871264).

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

1098306336 is a wasteful number, since it uses less digits than its factorization.

1098306336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48121 (or 48113 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 1098306336 is about 33140.7051222511. The cubic root of 1098306336 is about 1031.7500446264.

The spelling of 1098306336 in words is "one billion, ninety-eight million, three hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 47869 95738 143607 191476 287214 382952 574428 765904 1148856 1531808 2297712 4595424 11440691 22881382 34322073 45762764 68644146 91525528 137288292 183051056 274576584 366102112 549153168 1098306336