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340404464 = 24177731619
BaseRepresentation
bin10100010010100…
…010100011110000
3212201112100010202
4110102202203300
51144120420324
653440014332
711302250561
oct2422424360
9781470122
10340404464
11165170a04
12960013a8
13556a677a
14332d0168
151ed408ae
hex144a28f0

340404464 has 40 divisors (see below), whose sum is σ = 699665040. Its totient is φ = 159884288.

The previous prime is 340404451. The next prime is 340404499. The reversal of 340404464 is 464404043.

340404464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3404044643 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209447 + ... + 211065.

It is an arithmetic number, because the mean of its divisors is an integer number (17491626).

Almost surely, 2340404464 is an apocalyptic number.

340404464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

340404464 is an abundant number, since it is smaller than the sum of its proper divisors (359260576).

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

340404464 is a wasteful number, since it uses less digits than its factorization.

340404464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 340404464 is about 18450.0532248555. The cubic root of 340404464 is about 698.2298567289.

The spelling of 340404464 in words is "three hundred forty million, four hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 773 1546 1619 3092 3238 6184 6476 12368 12952 13141 25904 26282 27523 52564 55046 105128 110092 210256 220184 440368 1251487 2502974 5005948 10011896 20023792 21275279 42550558 85101116 170202232 340404464