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341709696 = 27321911553
BaseRepresentation
bin10100010111100…
…001001110000000
3212210222122120200
4110113201032000
51144434202241
653524005200
711316325116
oct2427411600
9783878520
10341709696
11165982609
1296530800
1355a428b3
143354dab6
151eeec4b6
hex145e1380

341709696 has 96 divisors (see below), whose sum is σ = 989089920. Its totient is φ = 113233920.

The previous prime is 341709679. The next prime is 341709751. The reversal of 341709696 is 696907143.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219256 + ... + 220808.

It is an arithmetic number, because the mean of its divisors is an integer number (10303020).

Almost surely, 2341709696 is an apocalyptic number.

341709696 is a gapful number since it is divisible by the number (36) 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 341709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494544960).

341709696 is an abundant number, since it is smaller than the sum of its proper divisors (647380224).

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

341709696 is a wasteful number, since it uses less digits than its factorization.

341709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 341709696 is about 18485.3914213359. The cubic root of 341709696 is about 699.1211392154.

The spelling of 341709696 in words is "three hundred forty-one million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 384 573 576 764 1146 1152 1528 1553 1719 2292 3056 3106 3438 4584 4659 6112 6212 6876 9168 9318 12224 12424 13752 13977 18336 18636 24448 24848 27504 27954 36672 37272 49696 55008 55908 73344 74544 99392 110016 111816 149088 198784 220032 223632 296623 298176 447264 593246 596352 889869 894528 1186492 1779738 1789056 2372984 2669607 3559476 4745968 5339214 7118952 9491936 10678428 14237904 18983872 21356856 28475808 37967744 42713712 56951616 85427424 113903232 170854848 341709696