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34143400 = 2352315507
BaseRepresentation
bin1000001000111…
…1110010101000
32101020122221101
42002033302220
532220042100
63215451144
7563133304
oct202176250
971218841
1034143400
1118300495
12b526ab4
1370c5bc5
14476ad04
152ee686a
hex208fca8

34143400 has 48 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 13214400.

The previous prime is 34143397. The next prime is 34143409. The reversal of 34143400 is 434143.

It is not an unprimeable number, because it can be changed into a prime (34143409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3447 + ... + 8953.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 234143400 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 34143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

34143400 is an abundant number, since it is smaller than the sum of its proper divisors (47815640).

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

34143400 is a wasteful number, since it uses less digits than its factorization.

34143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34143400 is about 5843.2354051501. The cubic root of 34143400 is about 324.4159926191.

Adding to 34143400 its reverse (434143), we get a palindrome (34577543).

It can be divided in two parts, 34143 and 400, that added together give a palindrome (34543).

The spelling of 34143400 in words is "thirty-four million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 5507 6200 11014 22028 27535 44056 55070 110140 137675 170717 220280 275350 341434 550700 682868 853585 1101400 1365736 1707170 3414340 4267925 6828680 8535850 17071700 34143400