Search a number
-
+
334231434 = 2353718587
BaseRepresentation
bin10011111010111…
…111011110001010
3212021220201100000
4103322333132022
51141030401214
653055423430
711165630445
oct2372773612
9767821300
10334231434
11161735029
1293b24b76
1354324aa4
143256465c
151e521809
hex13ebf78a

334231434 has 48 divisors (see below), whose sum is σ = 771327648. Its totient is φ = 108393552.

The previous prime is 334231427. The next prime is 334231439. The reversal of 334231434 is 434132433.

334231434 is a `hidden beast` number, since 3 + 342 + 314 + 3 + 4 = 666.

It is a super-2 number, since 2×3342314342 = 223421302947392712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 334231398 and 334231407.

It is not an unprimeable number, because it can be changed into a prime (334231439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8689 + ... + 27275.

It is an arithmetic number, because the mean of its divisors is an integer number (16069326).

Almost surely, 2334231434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334231434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385663824).

334231434 is an abundant number, since it is smaller than the sum of its proper divisors (437096214).

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

334231434 is a wasteful number, since it uses less digits than its factorization.

334231434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18629 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 334231434 is about 18281.9975385624. The cubic root of 334231434 is about 693.9834241543.

Adding to 334231434 its reverse (434132433), we get a palindrome (768363867).

Subtracting 334231434 from its reverse (434132433), we obtain a palindrome (99900999).

The spelling of 334231434 in words is "three hundred thirty-four million, two hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5994 8991 17982 18587 37174 55761 111522 167283 334566 501849 687719 1003698 1375438 1505547 2063157 3011094 4126314 4516641 6189471 9033282 12378942 18568413 37136826 55705239 111410478 167115717 334231434