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341342320 = 245111722817
BaseRepresentation
bin10100010110000…
…111100001110000
3212210021222122011
4110112013201300
51144340423240
653512052304
711313235054
oct2426074160
9783258564
10341342320
111657515a0
1296394094
1355944607
1433495c64
151ee786ea
hex14587870

341342320 has 80 divisors (see below), whose sum is σ = 916735968. Its totient is φ = 116817920.

The previous prime is 341342291. The next prime is 341342347. The reversal of 341342320 is 23243143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 341342291 and 341342300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3552 + ... + 26368.

Almost surely, 2341342320 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 341342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458367984).

341342320 is an abundant number, since it is smaller than the sum of its proper divisors (575393648).

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

341342320 is a wasteful number, since it uses less digits than its factorization.

341342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22858 (or 22852 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 341342320 is about 18475.4518212681. The cubic root of 341342320 is about 698.8705049981.

Adding to 341342320 its reverse (23243143), we get a palindrome (364585463).

The spelling of 341342320 in words is "three hundred forty-one million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 22817 45634 91268 114085 182536 228170 250987 365072 387889 456340 501974 775778 912680 1003948 1254935 1551556 1825360 1939445 2007896 2509870 3103112 3878890 4015792 4266779 5019740 6206224 7757780 8533558 10039480 15515560 17067116 20078960 21333895 31031120 34134232 42667790 68268464 85335580 170671160 341342320