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274143400 = 23521923797
BaseRepresentation
bin10000010101110…
…001100010101000
3201002211221001021
4100111301202220
51030140042100
643111502224
76536115616
oct2025614250
9632757037
10274143400
11130823aa3
1277987974
1344a46a3b
14285a26b6
1519102a1a
hex105718a8

274143400 has 72 divisors (see below), whose sum is σ = 672872670. Its totient is φ = 103858560.

The previous prime is 274143383. The next prime is 274143421. The reversal of 274143400 is 4341472.

274143400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 114019684 + 160123716 = 10678^2 + 12654^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 17 ways as a sum of consecutive naturals, for example, 70302 + ... + 74098.

Almost surely, 2274143400 is an apocalyptic number.

274143400 is a gapful number since it is divisible by the number (20) 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 274143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336436335).

274143400 is an abundant number, since it is smaller than the sum of its proper divisors (398729270).

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

274143400 is a wasteful number, since it uses less digits than its factorization.

274143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 274143400 is about 16557.2763460661. The cubic root of 274143400 is about 649.6198171234.

Adding to 274143400 its reverse (4341472), we get a palindrome (278484872).

The spelling of 274143400 in words is "two hundred seventy-four million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3797 3800 7220 7594 9025 14440 15188 18050 18985 30376 36100 37970 72143 72200 75940 94925 144286 151880 189850 288572 360715 379700 577144 721430 759400 1370717 1442860 1803575 2741434 2885720 3607150 5482868 6853585 7214300 10965736 13707170 14428600 27414340 34267925 54828680 68535850 137071700 274143400