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3423800 = 2352171953
BaseRepresentation
bin1101000011111000111000
320102221120102
431003320320
51334030200
6201214532
741046632
oct15037070
96387512
103423800
111a29396
121191448
1392b523
14651a52
154796d5
hex343e38

3423800 has 96 divisors (see below), whose sum is σ = 9039600. Its totient is φ = 1198080.

The previous prime is 3423751. The next prime is 3423811. The reversal of 3423800 is 83243.

3423800 = 3582 + 3592 + ... + 3822.

3423800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64574 + ... + 64626.

Almost surely, 23423800 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 3423800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519800).

3423800 is an abundant number, since it is smaller than the sum of its proper divisors (5615800).

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

3423800 is a wasteful number, since it uses less digits than its factorization.

3423800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3423800 is about 1850.3513179934. The cubic root of 3423800 is about 150.7195061837.

It can be divided in two parts, 342 and 3800, that multiplied together give a square (1299600 = 11402).

The spelling of 3423800 in words is "three million, four hundred twenty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 53 68 76 85 95 100 106 136 152 170 190 200 212 265 323 340 380 424 425 475 530 646 680 760 850 901 950 1007 1060 1292 1325 1615 1700 1802 1900 2014 2120 2584 2650 3230 3400 3604 3800 4028 4505 5035 5300 6460 7208 8056 8075 9010 10070 10600 12920 16150 17119 18020 20140 22525 25175 32300 34238 36040 40280 45050 50350 64600 68476 85595 90100 100700 136952 171190 180200 201400 342380 427975 684760 855950 1711900 3423800