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3398468436 = 22321121745893
BaseRepresentation
bin1100101010010000…
…1000001101010100
322202211211002021100
43022210020031110
523430001442221
61321120550100
7150134335146
oct31244101524
98684732240
103398468436
11149438a700
127aa182330
1342210a98c
142434ccc96
1514d553926
hexca908354

3398468436 has 108 divisors (see below), whose sum is σ = 9998191476. Its totient is φ = 969239040.

The previous prime is 3398468399. The next prime is 3398468441. The reversal of 3398468436 is 6348648933.

It can be written as a sum of positive squares in 2 ways, for example, as 1647548100 + 1750920336 = 40590^2 + 41844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51106 + ... + 96998.

It is an arithmetic number, because the mean of its divisors is an integer number (92575847).

Almost surely, 23398468436 is an apocalyptic number.

3398468436 is a gapful number since it is divisible by the number (36) 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 3398468436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999095738).

3398468436 is an abundant number, since it is smaller than the sum of its proper divisors (6599723040).

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

3398468436 is a wasteful number, since it uses less digits than its factorization.

3398468436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45942 (or 45926 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 3398468436 is about 58296.3844161883. The cubic root of 3398468436 is about 1503.4687775382.

The spelling of 3398468436 in words is "three billion, three hundred ninety-eight million, four hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 6171 6732 8228 12342 18513 24684 37026 45893 74052 91786 137679 183572 275358 413037 504823 550716 780181 826074 1009646 1514469 1560362 1652148 2019292 2340543 3028938 3120724 4543407 4681086 5553053 6057876 7021629 8581991 9086814 9362172 11106106 14043258 16659159 17163982 18173628 22212212 25745973 28086516 33318318 34327964 49977477 51491946 66636636 77237919 94401901 99954954 102983892 154475838 188803802 199909908 283205703 308951676 377607604 566411406 849617109 1132822812 1699234218 3398468436