Search a number
-
+
407679074 = 2111753131157
BaseRepresentation
bin11000010011001…
…011000001100010
31001102010020112222
4120103023001202
51313331212244
6104241551042
713050133505
oct3023130142
91042106488
10407679074
1119a140360
12b4645482
13665cc92a
143c20313c
1525bcdbee
hex184cb062

407679074 has 64 divisors (see below), whose sum is σ = 729793152. Its totient is φ = 168729600.

The previous prime is 407679073. The next prime is 407679079. The reversal of 407679074 is 470976704.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407679073) 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 31 ways as a sum of consecutive naturals, for example, 2596604 + ... + 2596760.

It is an arithmetic number, because the mean of its divisors is an integer number (11403018).

Almost surely, 2407679074 is an apocalyptic number.

407679074 is a deficient number, since it is larger than the sum of its proper divisors (322114078).

407679074 is a wasteful number, since it uses less digits than its factorization.

407679074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 296352, while the sum is 44.

The square root of 407679074 is about 20191.0642116754. The cubic root of 407679074 is about 741.4914369064.

The spelling of 407679074 in words is "four hundred seven million, six hundred seventy-nine thousand, seventy-four".

Divisors: 1 2 11 17 22 34 53 106 131 157 187 262 314 374 583 901 1166 1441 1727 1802 2227 2669 2882 3454 4454 5338 6943 8321 9911 13886 16642 19822 20567 24497 29359 41134 48994 58718 76373 91531 118031 141457 152746 183062 226237 236062 282914 349639 452474 699278 1090051 1298341 1556027 2180102 2596682 3112054 3846029 7692058 11990561 18530867 23981122 37061734 203839537 407679074