Search a number
-
+
334003003024 = 24172357520981
BaseRepresentation
bin1001101110001000010…
…00010101111010010000
31011221010020120112221111
410313010020111322100
520433014232044044
6413234443303104
733062622453055
oct4670410257220
91157106515844
10334003003024
11119716a95799
1254894b1aa94
132565b627242
141224708302c
158a4c952b34
hex4dc4215e90

334003003024 has 40 divisors (see below), whose sum is σ = 685489360248. Its totient is φ = 157110896640.

The previous prime is 334003003013. The next prime is 334003003027. The reversal of 334003003024 is 420300300433.

It can be written as a sum of positive squares in 4 ways, for example, as 22460417424 + 311542585600 = 149868^2 + 558160^2 .

It is a super-2 number, since 2×3340030030242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334003002986 and 334003003004.

It is not an unprimeable number, because it can be changed into a prime (334003003027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380614 + ... + 901594.

Almost surely, 2334003003024 is an apocalyptic number.

334003003024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

334003003024 is an abundant number, since it is smaller than the sum of its proper divisors (351486357224).

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

334003003024 is a wasteful number, since it uses less digits than its factorization.

334003003024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523363 (or 523357 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 334003003024 its reverse (420300300433), we get a palindrome (754303303457).

The spelling of 334003003024 in words is "three hundred thirty-four billion, three million, three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 2357 4714 9428 18856 37712 40069 80138 160276 320552 520981 641104 1041962 2083924 4167848 8335696 8856677 17713354 35426708 70853416 141706832 1227952217 2455904434 4911808868 9823617736 19647235472 20875187689 41750375378 83500750756 167001501512 334003003024