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334347312 = 243131274219
BaseRepresentation
bin10011111011011…
…011110000110000
3212022010121021210
4103323123300300
51141043103222
653102120120
711166622335
oct2373336060
9768117253
10334347312
111618040a2
1293b80040
1354365760
143259498c
151e545d0c
hex13edbc30

334347312 has 80 divisors (see below), whose sum is σ = 937717760. Its totient is φ = 102041856.

The previous prime is 334347289. The next prime is 334347319. The reversal of 334347312 is 213743433.

It is a super-2 number, since 2×3343473122 = 223576250083250688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334347312.

It is not an unprimeable number, because it can be changed into a prime (334347319) 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, 77139 + ... + 81357.

It is an arithmetic number, because the mean of its divisors is an integer number (11721472).

Almost surely, 2334347312 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 334347312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468858880).

334347312 is an abundant number, since it is smaller than the sum of its proper divisors (603370448).

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

334347312 is a wasteful number, since it uses less digits than its factorization.

334347312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4364 counting only the distinct ones).

The product of its digits is 18144, while the sum is 30.

The square root of 334347312 is about 18285.1664471505. The cubic root of 334347312 is about 694.0636162121.

The spelling of 334347312 in words is "three hundred thirty-four million, three hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 762 1016 1524 1651 2032 3048 3302 4219 4953 6096 6604 8438 9906 12657 13208 16876 19812 25314 26416 33752 39624 50628 54847 67504 79248 101256 109694 164541 202512 219388 329082 438776 535813 658164 877552 1071626 1316328 1607439 2143252 2632656 3214878 4286504 6429756 6965569 8573008 12859512 13931138 20896707 25719024 27862276 41793414 55724552 83586828 111449104 167173656 334347312