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334145312 = 2561712411
BaseRepresentation
bin10011111010101…
…010011100100000
3212021202100012022
4103322222130200
51141020122222
653053521012
711165121404
oct2372523440
9767670168
10334145312
11161686356
1293aa3168
13542c4827
1432541104
151e506042
hex13eaa720

334145312 has 48 divisors (see below), whose sum is σ = 678331584. Its totient is φ = 161952000.

The previous prime is 334145299. The next prime is 334145321. The reversal of 334145312 is 213541433.

It is a super-2 number, since 2×3341453122 = 223306179063154688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137387 + ... + 139797.

It is an arithmetic number, because the mean of its divisors is an integer number (14131908).

Almost surely, 2334145312 is an apocalyptic number.

334145312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339165792).

334145312 is an abundant number, since it is smaller than the sum of its proper divisors (344186272).

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

334145312 is a wasteful number, since it uses less digits than its factorization.

334145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2545 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 334145312 is about 18279.6420096237. The cubic root of 334145312 is about 693.9238123918.

Adding to 334145312 its reverse (213541433), we get a palindrome (547686745).

The spelling of 334145312 in words is "three hundred thirty-four million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 71 122 142 244 284 488 568 976 1136 1952 2272 2411 4331 4822 8662 9644 17324 19288 34648 38576 69296 77152 138592 147071 171181 294142 342362 588284 684724 1176568 1369448 2353136 2738896 4706272 5477792 10442041 20884082 41768164 83536328 167072656 334145312