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334113100 = 225219414289
BaseRepresentation
bin10011111010100…
…010100101001100
3212021200201000021
4103322202211030
51141013104400
653053111524
711164625446
oct2372424514
9767621007
10334113100
11161664132
1293a885a4
13542b2c79
1432533496
151e4eb71a
hex13ea294c

334113100 has 72 divisors (see below), whose sum is σ = 781981200. Its totient is φ = 123494400.

The previous prime is 334113079. The next prime is 334113103. The reversal of 334113100 is 1311433.

It is a super-2 number, since 2×3341131002 = 223263127183220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334113103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75756 + ... + 80044.

It is an arithmetic number, because the mean of its divisors is an integer number (10860850).

Almost surely, 2334113100 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 334113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390990600).

334113100 is an abundant number, since it is smaller than the sum of its proper divisors (447868100).

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

334113100 is a wasteful number, since it uses less digits than its factorization.

334113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 334113100 is about 18278.7608989231. The cubic root of 334113100 is about 693.9015133187.

Adding to 334113100 its reverse (1311433), we get a palindrome (335424533).

The spelling of 334113100 in words is "three hundred thirty-four million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 164 190 205 380 410 475 779 820 950 1025 1558 1900 2050 3116 3895 4100 4289 7790 8578 15580 17156 19475 21445 38950 42890 77900 81491 85780 107225 162982 175849 214450 325964 351698 407455 428900 703396 814910 879245 1629820 1758490 2037275 3341131 3516980 4074550 4396225 6682262 8149100 8792450 13364524 16705655 17584900 33411310 66822620 83528275 167056550 334113100