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334102120 = 235113672069
BaseRepresentation
bin10011111010011…
…111111001101000
3212021200010221121
4103322133321220
51141012231440
653052545024
711164551442
oct2372377150
9767603847
10334102120
11161656960
1293a82174
13542aac81
143252d492
151e4e834a
hex13e9fe68

334102120 has 64 divisors (see below), whose sum is σ = 822700800. Its totient is φ = 121102080.

The previous prime is 334102103. The next prime is 334102121. The reversal of 334102120 is 21201433.

It is a happy number.

It is a super-2 number, since 2×3341021202 = 223248453176988800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334102094 and 334102103.

It is not an unprimeable number, because it can be changed into a prime (334102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160446 + ... + 162514.

It is an arithmetic number, because the mean of its divisors is an integer number (12854700).

Almost surely, 2334102120 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 334102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411350400).

334102120 is an abundant number, since it is smaller than the sum of its proper divisors (488598680).

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

334102120 is a wasteful number, since it uses less digits than its factorization.

334102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 334102120 is about 18278.4605478689. The cubic root of 334102120 is about 693.8939119785.

Adding to 334102120 its reverse (21201433), we get a palindrome (355303553).

The spelling of 334102120 in words is "three hundred thirty-four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 367 440 734 1468 1835 2069 2936 3670 4037 4138 7340 8074 8276 10345 14680 16148 16552 20185 20690 22759 32296 40370 41380 45518 80740 82760 91036 113795 161480 182072 227590 455180 759323 910360 1518646 3037292 3796615 6074584 7593230 8352553 15186460 16705106 30372920 33410212 41762765 66820424 83525530 167051060 334102120