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334768464 = 24391063
BaseRepresentation
bin10011111101000…
…010100101010000
3212022221000000000
4103331002211100
51141200042324
653115130000
711203325232
oct2375024520
9768830000
10334768464
11161a71558
1294143900
1354482364
1432664252
151e5ca9c9
hex13f42950

334768464 has 100 divisors (see below), whose sum is σ = 973819616. Its totient is φ = 111484512.

The previous prime is 334768463. The next prime is 334768487. The reversal of 334768464 is 464867433.

It is a super-2 number, since 2×3347684642 = 224139848977838592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334768463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314397 + ... + 315459.

Almost surely, 2334768464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486909808).

334768464 is an abundant number, since it is smaller than the sum of its proper divisors (639051152).

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

334768464 is an frugal number, since it uses more digits than its factorization.

334768464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1068 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 334768464 is about 18296.6790429302. The cubic root of 334768464 is about 694.3549137376.

The spelling of 334768464 in words is "three hundred thirty-four million, seven hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1063 1296 1458 1944 2126 2187 2916 3189 3888 4252 4374 5832 6378 6561 8504 8748 9567 11664 12756 13122 17008 17496 19134 19683 25512 26244 28701 34992 38268 39366 51024 52488 57402 76536 78732 86103 104976 114804 153072 157464 172206 229608 258309 314928 344412 459216 516618 688824 774927 1033236 1377648 1549854 2066472 2324781 3099708 4132944 4649562 6199416 6974343 9299124 12398832 13948686 18598248 20923029 27897372 37196496 41846058 55794744 83692116 111589488 167384232 334768464