Search a number
-
+
334101402 = 233291911117
BaseRepresentation
bin10011111010011…
…111101110011010
3212021200002222000
4103322133232122
51141012221102
653052541430
711164546365
oct2372375632
9767602860
10334101402
11161656368
1293a81876
13542aa84b
143252d0dc
151e4e801c
hex13e9fb9a

334101402 has 64 divisors (see below), whose sum is σ = 772761600. Its totient is φ = 106868160.

The previous prime is 334101371. The next prime is 334101403. The reversal of 334101402 is 204101433.

It is a super-2 number, since 2×3341014022 = 223247493636731208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (334101403) 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 31 ways as a sum of consecutive naturals, for example, 298548 + ... + 299664.

It is an arithmetic number, because the mean of its divisors is an integer number (12074400).

Almost surely, 2334101402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334101402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386380800).

334101402 is an abundant number, since it is smaller than the sum of its proper divisors (438660198).

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

334101402 is a wasteful number, since it uses less digits than its factorization.

334101402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 334101402 is about 18278.4409072546. The cubic root of 334101402 is about 693.8934149087.

Adding to 334101402 its reverse (204101433), we get a palindrome (538202835).

The spelling of 334101402 in words is "three hundred thirty-four million, one hundred one thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 191 261 382 522 573 783 1117 1146 1566 1719 2234 3351 3438 5157 5539 6702 10053 10314 11078 16617 20106 30159 32393 33234 49851 60318 64786 97179 99702 149553 194358 213347 291537 299106 426694 583074 640041 874611 1280082 1749222 1920123 3840246 5760369 6187063 11520738 12374126 18561189 37122378 55683567 111367134 167050701 334101402