Search a number
-
+
370401009 = 31113781929
BaseRepresentation
bin10110000100111…
…101111011110001
3221210222022122220
4112010331323301
51224310313014
6100430551253
712115233216
oct2604757361
9853868586
10370401009
11180099840
12a4068529
135b979cc4
143729bb0d
15227b86a9
hex1613def1

370401009 has 16 divisors (see below), whose sum is σ = 542704320. Its totient is φ = 222844160.

The previous prime is 370401007. The next prime is 370401013. The reversal of 370401009 is 900104073.

It is not a de Polignac number, because 370401009 - 21 = 370401007 is a prime.

It is a super-3 number, since 3×3704010093 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 370401009.

It is not an unprimeable number, because it can be changed into a prime (370401007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36444 + ... + 45485.

It is an arithmetic number, because the mean of its divisors is an integer number (33919020).

Almost surely, 2370401009 is an apocalyptic number.

It is an amenable number.

370401009 is a deficient number, since it is larger than the sum of its proper divisors (172303311).

370401009 is a wasteful number, since it uses less digits than its factorization.

370401009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82080.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 370401009 is about 19245.8049714737. The cubic root of 370401009 is about 718.1646988092.

The spelling of 370401009 in words is "three hundred seventy million, four hundred one thousand, nine".

Divisors: 1 3 11 33 137 411 1507 4521 81929 245787 901219 2703657 11224273 33672819 123467003 370401009