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3398398980 = 2235416172239
BaseRepresentation
bin1100101010001111…
…0111010000000100
322202211200112222220
43022203313100010
523424442231410
61321115252340
7150133625514
oct31243672004
98684615886
103398398980
1114943424a9
127aa14a0b0
134220b5192
142434b1844
1514d53d070
hexca8f7404

3398398980 has 96 divisors (see below), whose sum is σ = 9767761920. Its totient is φ = 882309120.

The previous prime is 3398398973. The next prime is 3398398981. The reversal of 3398398980 is 898938933.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3398398981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516701 + ... + 1518939.

It is an arithmetic number, because the mean of its divisors is an integer number (101747520).

Almost surely, 23398398980 is an apocalyptic number.

3398398980 is a gapful number since it is divisible by the number (30) 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 3398398980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883880960).

3398398980 is an abundant number, since it is smaller than the sum of its proper divisors (6369362940).

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

3398398980 is a wasteful number, since it uses less digits than its factorization.

3398398980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The square root of 3398398980 is about 58295.7886986702. The cubic root of 3398398980 is about 1503.4585351167.

The spelling of 3398398980 in words is "three billion, three hundred ninety-eight million, three hundred ninety-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 617 820 1230 1234 1851 2239 2460 2468 3085 3702 4478 6170 6717 7404 8956 9255 11195 12340 13434 18510 22390 25297 26868 33585 37020 44780 50594 67170 75891 91799 101188 126485 134340 151782 183598 252970 275397 303564 367196 379455 458995 505940 550794 758910 917990 1101588 1376985 1381463 1517820 1835980 2753970 2762926 4144389 5507940 5525852 6907315 8288778 13814630 16577556 20721945 27629260 41443890 56639983 82887780 113279966 169919949 226559932 283199915 339839898 566399830 679679796 849599745 1132799660 1699199490 3398398980