Search a number
-
+
6634017342 = 2333722714627
BaseRepresentation
bin1100010110110101…
…10001001000111110
3122010100001222222000
412023122301020332
5102041302023332
63014142003130
7323253134301
oct61332611076
918110058860
106634017342
1128a4803467
1213518764a6
13819545064
1446d0ccb38
1528c624b7c
hex18b6b123e

6634017342 has 64 divisors (see below), whose sum is σ = 15208439040. Its totient is φ = 2141948448.

The previous prime is 6634017331. The next prime is 6634017347. The reversal of 6634017342 is 2437104366.

It is a happy number.

6634017342 is a `hidden beast` number, since 6 + 634 + 0 + 17 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6634017297 and 6634017306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6634017347) 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 31 ways as a sum of consecutive naturals, for example, 446233 + ... + 460859.

It is an arithmetic number, because the mean of its divisors is an integer number (237631860).

Almost surely, 26634017342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6634017342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604219520).

6634017342 is an abundant number, since it is smaller than the sum of its proper divisors (8574421698).

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

6634017342 is a wasteful number, since it uses less digits than its factorization.

6634017342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14902 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6634017342 is about 81449.4772358915. The cubic root of 6634017342 is about 1878.9946093676.

The spelling of 6634017342 in words is "six billion, six hundred thirty-four million, seventeen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 227 333 454 666 681 999 1362 1998 2043 4086 6129 8399 12258 14627 16798 25197 29254 43881 50394 75591 87762 131643 151182 226773 263286 394929 453546 541199 789858 1082398 1623597 3247194 3320329 4870791 6640658 9741582 9960987 14612373 19921974 29224746 29882961 59765922 89648883 122852173 179297766 245704346 368556519 737113038 1105669557 2211339114 3317008671 6634017342