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468966342 = 231337433779
BaseRepresentation
bin11011111100111…
…101101111000110
31012200102221212210
4123330331233012
51430023410332
6114311324250
714423101545
oct3374755706
91180387783
10468966342
112207a0399
12111080686
137620a7a0
14463d815c
152b287ecc
hex1bf3dbc6

468966342 has 64 divisors (see below), whose sum is σ = 1061786880. Its totient is φ = 137096064.

The previous prime is 468966319. The next prime is 468966347. The reversal of 468966342 is 243669864.

It is a junction number, because it is equal to n+sod(n) for n = 468966291 and 468966300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468966347) 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, 122209 + ... + 125987.

It is an arithmetic number, because the mean of its divisors is an integer number (16590420).

Almost surely, 2468966342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468966342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530893440).

468966342 is an abundant number, since it is smaller than the sum of its proper divisors (592820538).

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

468966342 is a wasteful number, since it uses less digits than its factorization.

468966342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877.

The product of its digits is 1492992, while the sum is 48.

The square root of 468966342 is about 21655.6307227474. The cubic root of 468966342 is about 776.9276147559.

The spelling of 468966342 in words is "four hundred sixty-eight million, nine hundred sixty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 37 39 43 74 78 86 111 129 222 258 481 559 962 1118 1443 1591 1677 2886 3182 3354 3779 4773 7558 9546 11337 20683 22674 41366 49127 62049 98254 124098 139823 147381 162497 279646 294762 324994 419469 487491 838938 974982 1817699 2112461 3635398 4224922 5453097 6012389 6337383 10906194 12024778 12674766 18037167 36074334 78161057 156322114 234483171 468966342