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3063400 = 235217253
BaseRepresentation
bin1011101011111001101000
312202122012021
423223321220
51241012100
6145354224
735016124
oct13537150
95678167
103063400
11180263a
121038974
13833482
1459a584
15407a1a
hex2ebe68

3063400 has 72 divisors (see below), whose sum is σ = 7708770. Its totient is φ = 1131520.

The previous prime is 3063391. The next prime is 3063407. The reversal of 3063400 is 43603.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1153476 + 1909924 = 1074^2 + 1382^2 .

It is not an unprimeable number, because it can be changed into a prime (3063407) 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 17 ways as a sum of consecutive naturals, for example, 57774 + ... + 57826.

Almost surely, 23063400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854385).

3063400 is an abundant number, since it is smaller than the sum of its proper divisors (4645370).

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

3063400 is a wasteful number, since it uses less digits than its factorization.

3063400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3063400 is about 1750.2571239678. The cubic root of 3063400 is about 145.2338675435.

It can be divided in two parts, 306 and 3400, that multiplied together give a square (1040400 = 10202).

The spelling of 3063400 in words is "three million, sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 265 289 340 424 425 530 578 680 850 901 1060 1156 1325 1445 1700 1802 2120 2312 2650 2890 3400 3604 4505 5300 5780 7208 7225 9010 10600 11560 14450 15317 18020 22525 28900 30634 36040 45050 57800 61268 76585 90100 122536 153170 180200 306340 382925 612680 765850 1531700 3063400