Search a number
-
+
335233096 = 231123891861
BaseRepresentation
bin10011111110110…
…100000001001000
3212100210121100121
4103332310001020
51141304424341
653133113024
711210301652
oct2376640110
9770717317
10335233096
11162259650
1294328774
13545b59a3
14327456d2
151e66d4d1
hex13fb4048

335233096 has 64 divisors (see below), whose sum is σ = 723945600. Its totient is φ = 144038400.

The previous prime is 335233091. The next prime is 335233121. The reversal of 335233096 is 690332533.

It is a super-2 number, since 2×3352330962 = 224762457307490432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335233091) 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 15 ways as a sum of consecutive naturals, for example, 179206 + ... + 181066.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2335233096 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 335233096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

335233096 is an abundant number, since it is smaller than the sum of its proper divisors (388712504).

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

335233096 is a wasteful number, since it uses less digits than its factorization.

335233096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 34.

The square root of 335233096 is about 18309.3718079021. The cubic root of 335233096 is about 694.6760016986.

The spelling of 335233096 in words is "three hundred thirty-five million, two hundred thirty-three thousand, ninety-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 89 92 178 184 253 356 506 712 979 1012 1861 1958 2024 2047 3722 3916 4094 7444 7832 8188 14888 16376 20471 22517 40942 42803 45034 81884 85606 90068 163768 165629 171212 180136 331258 342424 470833 662516 941666 1325032 1821919 1883332 3643838 3766664 3809467 7287676 7618934 14575352 15237868 30475736 41904137 83808274 167616548 335233096