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343483104 = 25323732131
BaseRepresentation
bin10100011110010…
…010001011100000
3212221022202020110
4110132102023200
51200412424404
654030011320
711340362316
oct2436221340
9787282213
10343483104
11166983a38
1297046b40
1356213b53
14338920b6
152024cb89
hex147922e0

343483104 has 96 divisors (see below), whose sum is σ = 954180864. Its totient is φ = 107965440.

The previous prime is 343483103. The next prime is 343483139. The reversal of 343483104 is 401384343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343483103) 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, 160119 + ... + 162249.

It is an arithmetic number, because the mean of its divisors is an integer number (9939384).

Almost surely, 2343483104 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 343483104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477090432).

343483104 is an abundant number, since it is smaller than the sum of its proper divisors (610697760).

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

343483104 is a wasteful number, since it uses less digits than its factorization.

343483104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 343483104 is about 18533.2971702285. The cubic root of 343483104 is about 700.3284880037.

The spelling of 343483104 in words is "three hundred forty-three million, four hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 73 92 96 138 146 184 219 276 292 368 438 552 584 736 876 1104 1168 1679 1752 2131 2208 2336 3358 3504 4262 5037 6393 6716 7008 8524 10074 12786 13432 17048 20148 25572 26864 34096 40296 49013 51144 53728 68192 80592 98026 102288 147039 155563 161184 196052 204576 294078 311126 392104 466689 588156 622252 784208 933378 1176312 1244504 1568416 1866756 2352624 2489008 3577949 3733512 4705248 4978016 7155898 7467024 10733847 14311796 14934048 21467694 28623592 42935388 57247184 85870776 114494368 171741552 343483104