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3429900 = 22325237103
BaseRepresentation
bin1101000101011000001100
320110020221100
431011120030
51334224100
6201303100
741103465
oct15053014
96406840
103429900
111a32a31
121194a90
13931236
14653d6c
1547b400
hex34560c

3429900 has 108 divisors (see below), whose sum is σ = 11148592. Its totient is φ = 881280.

The previous prime is 3429893. The next prime is 3429901. The reversal of 3429900 is 99243.

3429900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3429901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33249 + ... + 33351.

Almost surely, 23429900 is an apocalyptic number.

3429900 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 3429900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574296).

3429900 is an abundant number, since it is smaller than the sum of its proper divisors (7718692).

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

3429900 is a wasteful number, since it uses less digits than its factorization.

3429900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3429900 is about 1851.9989200861. The cubic root of 3429900 is about 150.8089626862.

The spelling of 3429900 in words is "three million, four hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 103 111 148 150 180 185 206 222 225 300 309 333 370 412 444 450 515 555 618 666 740 900 925 927 1030 1110 1236 1332 1545 1665 1850 1854 2060 2220 2575 2775 3090 3330 3700 3708 3811 4635 5150 5550 6180 6660 7622 7725 8325 9270 10300 11100 11433 15244 15450 16650 18540 19055 22866 23175 30900 33300 34299 38110 45732 46350 57165 68598 76220 92700 95275 114330 137196 171495 190550 228660 285825 342990 381100 571650 685980 857475 1143300 1714950 3429900