Search a number
-
+
374461201 = 3725232
BaseRepresentation
bin10110010100011…
…101001100010001
3222002121121012101
4112110131030101
51231330224301
6101054000401
712164603422
oct2624351421
9862547171
10374461201
11182412274
12a54a6101
135c76c09a
1437a37649
1522d1b701
hex1651d311

374461201 has 9 divisors (see below), whose sum is σ = 385592571. Its totient is φ = 363643992.

The previous prime is 374461187. The next prime is 374461231. The reversal of 374461201 is 102164473.

The square root of 374461201 is 19351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 335073025 + 39388176 = 18305^2 + 6276^2 .

It is not a de Polignac number, because 374461201 - 25 = 374461169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 374461201.

It is not an unprimeable number, because it can be changed into a prime (374461231) 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 8 ways as a sum of consecutive naturals, for example, 715726 + ... + 716248.

It is an arithmetic number, because the mean of its divisors is an integer number (42843619).

Almost surely, 2374461201 is an apocalyptic number.

374461201 is the 19351-st square number.

374461201 is the 9676-th centered octagonal number.

It is an amenable number.

374461201 is a deficient number, since it is larger than the sum of its proper divisors (11131370).

374461201 is an frugal number, since it uses more digits than its factorization.

374461201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The cubic root of 374461201 is about 720.7792495565.

The spelling of 374461201 in words is "three hundred seventy-four million, four hundred sixty-one thousand, two hundred one".

Divisors: 1 37 523 1369 19351 273529 715987 10120573 374461201