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274027400 = 2352731372
BaseRepresentation
bin10000010101010…
…101001110001000
3201002122000220222
4100111111032020
51030122334100
643105205212
76535123463
oct2025251610
9632560828
10274027400
11130754929
1277930808
1344a05cba
14285722da
15190cd485
hex10555388

274027400 has 72 divisors (see below), whose sum is σ = 650589870. Its totient is φ = 107320320.

The previous prime is 274027393. The next prime is 274027423. The reversal of 274027400 is 4720472.

It can be written as a sum of positive squares in 9 ways, for example, as 36312676 + 237714724 = 6026^2 + 15418^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 274027400.

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, 2000132 + ... + 2000268.

Almost surely, 2274027400 is an apocalyptic number.

274027400 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 274027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325294935).

274027400 is an abundant number, since it is smaller than the sum of its proper divisors (376562470).

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

274027400 is a wasteful number, since it uses less digits than its factorization.

274027400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 274027400 is about 16553.7729838246. The cubic root of 274027400 is about 649.5281783072.

Adding to 274027400 its reverse (4720472), we get a palindrome (278747872).

The spelling of 274027400 in words is "two hundred seventy-four million, twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1096 1370 1460 1825 2740 2920 3425 3650 5480 6850 7300 10001 13700 14600 18769 20002 27400 37538 40004 50005 75076 80008 93845 100010 150152 187690 200020 250025 375380 400040 469225 500050 750760 938450 1000100 1370137 1876900 2000200 2740274 3753800 5480548 6850685 10961096 13701370 27402740 34253425 54805480 68506850 137013700 274027400