Search a number
-
+
334052153024 = 2631199784313
BaseRepresentation
bin1001101110001110000…
…11110101011011000000
31011221020200001122001212
410313013003311123000
520433114322344044
6413243400545252
733064060310402
oct4670703653300
91157220048055
10334052153024
11119741805927
12548a9482228
1325668875795
141224d7d8b72
158a51e10a9e
hex4dc70f56c0

334052153024 has 56 divisors (see below), whose sum is σ = 684618887808. Its totient is φ = 161555281920.

The previous prime is 334052153021. The next prime is 334052153027. The reversal of 334052153024 is 420351250433.

It is an interprime number because it is at equal distance from previous prime (334052153021) and next prime (334052153027).

It is a super-2 number, since 2×3340521530242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (334052153021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3919892 + ... + 4004204.

Almost surely, 2334052153024 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 334052153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342309443904).

334052153024 is an abundant number, since it is smaller than the sum of its proper divisors (350566734784).

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

334052153024 is a wasteful number, since it uses less digits than its factorization.

334052153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86353 (or 86343 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 334052153024 in words is "three hundred thirty-four billion, fifty-two million, one hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 1997 3994 7988 15976 31952 61907 63904 84313 123814 127808 168626 247628 337252 495256 674504 990512 1349008 1981024 2613703 2698016 3962048 5227406 5396032 10454812 20909624 41819248 83638496 167276992 168373061 336746122 673492244 1346984488 2693968976 5219564891 5387937952 10439129782 10775875904 20878259564 41756519128 83513038256 167026076512 334052153024