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334141332 = 223723971783
BaseRepresentation
bin10011111010101…
…001011110010100
3212021202010201220
4103322221132110
51141020010312
653053450340
711165103660
oct2372513624
9767663656
10334141332
11161683368
1293aa09b0
13542c2a85
143253d8a0
151e504c8c
hex13ea9794

334141332 has 96 divisors (see below), whose sum is σ = 939896832. Its totient is φ = 90326016.

The previous prime is 334141303. The next prime is 334141351. The reversal of 334141332 is 233141433.

It is a super-2 number, since 2×3341413322 = 223300859501468448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186513 + ... + 188295.

It is an arithmetic number, because the mean of its divisors is an integer number (9790592).

Almost surely, 2334141332 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 334141332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469948416).

334141332 is an abundant number, since it is smaller than the sum of its proper divisors (605755500).

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

334141332 is a wasteful number, since it uses less digits than its factorization.

334141332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 334141332 is about 18279.5331450232. The cubic root of 334141332 is about 693.9210572753.

Adding to 334141332 its reverse (233141433), we get a palindrome (567282765).

The spelling of 334141332 in words is "three hundred thirty-four million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 97 138 161 194 276 291 322 388 483 582 644 679 966 1164 1358 1783 1932 2037 2231 2716 3566 4074 4462 5349 6693 7132 8148 8924 10698 12481 13386 15617 21396 24962 26772 31234 37443 41009 46851 49924 62468 74886 82018 93702 123027 149772 164036 172951 187404 246054 287063 345902 492108 518853 574126 691804 861189 1037706 1148252 1210657 1722378 2075412 2421314 3444756 3631971 3977873 4842628 7263942 7955746 11933619 14527884 15911492 23867238 27845111 47734476 55690222 83535333 111380444 167070666 334141332