Search a number
-
+
464194374 = 23741436269
BaseRepresentation
bin11011101010110…
…000101101000110
31012100110111222020
4123222300231012
51422313204444
6114021144010
714334405240
oct3352605506
91170414866
10464194374
11219031116
1210b55b006
1375229737
1445915090
152ab44119
hex1bab0b46

464194374 has 64 divisors (see below), whose sum is σ = 1112348160. Its totient is φ = 126362880.

The previous prime is 464194321. The next prime is 464194391. The reversal of 464194374 is 473491464.

It is a super-3 number, since 3×4641943743 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70912 + ... + 77180.

It is an arithmetic number, because the mean of its divisors is an integer number (17380440).

Almost surely, 2464194374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464194374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

464194374 is an abundant number, since it is smaller than the sum of its proper divisors (648153786).

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

464194374 is a wasteful number, since it uses less digits than its factorization.

464194374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365.

The product of its digits is 290304, while the sum is 42.

The square root of 464194374 is about 21545.1705493366. The cubic root of 464194374 is about 774.2834161627.

It can be divided in two parts, 4641 and 94374, that multiplied together give a palindrome (437989734).

The spelling of 464194374 in words is "four hundred sixty-four million, one hundred ninety-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 41 42 43 82 86 123 129 246 258 287 301 574 602 861 903 1722 1763 1806 3526 5289 6269 10578 12341 12538 18807 24682 37023 37614 43883 74046 87766 131649 257029 263298 269567 514058 539134 771087 808701 1542174 1617402 1799203 1886969 3598406 3773938 5397609 5660907 10795218 11052247 11321814 22104494 33156741 66313482 77365729 154731458 232097187 464194374