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342320000 = 275411389
BaseRepresentation
bin10100011001110…
…110001110000000
3212212010122202112
4110121312032000
51200113220000
653545034452
711324446331
oct2431661600
9785118675
10342320000
1116625a0a0
1296785a28
1355bc7619
143366c288
15200bd235
hex14676380

342320000 has 160 divisors (see below), whose sum is σ = 932045400. Its totient is φ = 124160000.

The previous prime is 342319997. The next prime is 342320003. The reversal of 342320000 is 23243.

It is an interprime number because it is at equal distance from previous prime (342319997) and next prime (342320003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879806 + ... + 880194.

Almost surely, 2342320000 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 342320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466022700).

342320000 is an abundant number, since it is smaller than the sum of its proper divisors (589725400).

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

342320000 is an equidigital number, since it uses as much as digits as its factorization.

342320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 342320000 is about 18501.8917951652. The cubic root of 342320000 is about 699.5371089361.

Adding to 342320000 its reverse (23243), we get a palindrome (342343243).

The spelling of 342320000 in words is "three hundred forty-two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 389 400 440 500 550 625 640 704 778 800 880 1000 1100 1250 1375 1408 1556 1600 1760 1945 2000 2200 2500 2750 3112 3200 3520 3890 4000 4279 4400 5000 5500 6224 6875 7040 7780 8000 8558 8800 9725 10000 11000 12448 13750 15560 16000 17116 17600 19450 20000 21395 22000 24896 27500 31120 34232 35200 38900 40000 42790 44000 48625 49792 55000 62240 68464 77800 80000 85580 88000 97250 106975 110000 124480 136928 155600 171160 176000 194500 213950 220000 243125 248960 273856 311200 342320 389000 427900 440000 486250 534875 547712 622400 684640 778000 855800 880000 972500 1069750 1244800 1369280 1556000 1711600 1945000 2139500 2674375 2738560 3112000 3423200 3890000 4279000 5348750 6224000 6846400 7780000 8558000 10697500 13692800 15560000 17116000 21395000 31120000 34232000 42790000 68464000 85580000 171160000 342320000