Search a number
-
+
374242473 = 32112401857
BaseRepresentation
bin10110010011100…
…111110010101001
3222002012111011100
4112103213302221
51231301224343
6101045152013
712163002633
oct2623476251
9862174140
10374242473
11182282a00
12a53bb609
135c6c3667
14379bba53
1522cc69d3
hex164e7ca9

374242473 has 36 divisors (see below), whose sum is σ = 596359764. Its totient is φ = 225984000.

The previous prime is 374242441. The next prime is 374242493.

374242473 is a `hidden beast` number, since 374 + 242 + 47 + 3 = 666.

374242473 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 361304064 + 12938409 = 19008^2 + 3597^2 .

It is not a de Polignac number, because 374242473 - 25 = 374242441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (374242493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436261 + ... + 437117.

It is an arithmetic number, because the mean of its divisors is an integer number (16565549).

Almost surely, 2374242473 is an apocalyptic number.

374242473 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

374242473 is a deficient number, since it is larger than the sum of its proper divisors (222117291).

374242473 is a wasteful number, since it uses less digits than its factorization.

374242473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1272 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 374242473 is about 19345.3475802323. The cubic root of 374242473 is about 720.6388831587.

The spelling of 374242473 in words is "three hundred seventy-four million, two hundred forty-two thousand, four hundred seventy-three".

Divisors: 1 3 9 11 33 99 121 363 401 857 1089 1203 2571 3609 4411 7713 9427 13233 28281 39699 48521 84843 103697 145563 311091 343657 436689 933273 1030971 3092913 3780227 11340681 34022043 41582497 124747491 374242473