Search a number
-
+
334320000023433 = 329371011028300407
BaseRepresentation
bin100110000000011111111000…
…0110101111011101110001001
31121211201200100121211112102010
41030000333300311323232021
5322304444330001222213
63143012253204330133
7130263552155410224
oct11400776065735611
91554650317745363
10334320000023433
1197585352344026
12315b55576a3949
1311471318b53888
145c7b2625545bb
15289b66ca24ac3
hex1300ff0d7bb89

334320000023433 has 32 divisors (see below), whose sum is σ = 478283085768960. Its totient is φ = 207305361849600.

The previous prime is 334320000023393. The next prime is 334320000023453.

It is a happy number.

334320000023433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334320000023433 - 222 = 334319995829129 is a prime.

It is a super-2 number, since 2×3343200000234332 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 334320000023433.

It is not an unprimeable number, because it can be changed into a prime (334320000023453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513825085 + ... + 514475322.

It is an arithmetic number, because the mean of its divisors is an integer number (14946346430280).

Almost surely, 2334320000023433 is an apocalyptic number.

It is an amenable number.

334320000023433 is a deficient number, since it is larger than the sum of its proper divisors (143963085745527).

334320000023433 is a wasteful number, since it uses less digits than its factorization.

334320000023433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028300577.

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 3343200000 and 23433, that added together give a palindrome (3343223433).

The spelling of 334320000023433 in words is "three hundred thirty-four trillion, three hundred twenty billion, twenty-three thousand, four hundred thirty-three".

Divisors: 1 3 29 37 87 101 111 303 1073 2929 3219 3737 8787 11211 108373 325119 1028300407 3084901221 29820711803 38047115059 89462135409 103858341107 114141345177 311575023321 1103366336711 3011891892103 3310099010133 3842758620959 9035675676309 11528275862877 111440000007811 334320000023433