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3366981900 = 22325211333107
BaseRepresentation
bin1100100010110000…
…0001000100001100
322200122120101212100
43020230001010030
523343421410100
61314034035100
7146302605522
oct31054010414
98618511770
103366981900
111478634377
1279b718a90
134187351a9
1423d254312
1514a8d4400
hexc8b0110c

3366981900 has 108 divisors (see below), whose sum is σ = 10647334152. Its totient is φ = 889889280.

The previous prime is 3366981899. The next prime is 3366981923. The reversal of 3366981900 is 91896633.

It is a super-2 number, since 2×33669819002 = 22673134229855220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 85147 + ... + 118253.

Almost surely, 23366981900 is an apocalyptic number.

3366981900 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 3366981900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323667076).

3366981900 is an abundant number, since it is smaller than the sum of its proper divisors (7280352252).

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

3366981900 is a wasteful number, since it uses less digits than its factorization.

3366981900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33240 (or 33230 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3366981900 is about 58025.7003404526. The cubic root of 3366981900 is about 1498.8111914050.

The spelling of 3366981900 in words is "three billion, three hundred sixty-six million, nine hundred eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 113 150 180 225 226 300 339 450 452 565 678 900 1017 1130 1356 1695 2034 2260 2825 3390 4068 5085 5650 6780 8475 10170 11300 16950 20340 25425 33107 33900 50850 66214 99321 101700 132428 165535 198642 297963 331070 397284 496605 595926 662140 827675 993210 1191852 1489815 1655350 1986420 2483025 2979630 3310700 3741091 4966050 5959260 7449075 7482182 9932100 11223273 14898150 14964364 18705455 22446546 29796300 33669819 37410910 44893092 56116365 67339638 74821820 93527275 112232730 134679276 168349095 187054550 224465460 280581825 336698190 374109100 561163650 673396380 841745475 1122327300 1683490950 3366981900