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342825560 = 235721115901
BaseRepresentation
bin10100011011110…
…001101001011000
3212220002100020222
4110123301221120
51200230404220
654003535212
711331653300
oct2433615130
9786070228
10342825560
11166574a10
129698a508
135604377c
1433760600
152016ce25
hex146f1a58

342825560 has 96 divisors (see below), whose sum is σ = 978927120. Its totient is φ = 106848000.

The previous prime is 342825547. The next prime is 342825599. The reversal of 342825560 is 65528243.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 342825560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13610 + ... + 29510.

Almost surely, 2342825560 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 342825560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489463560).

342825560 is an abundant number, since it is smaller than the sum of its proper divisors (636101560).

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

342825560 is a wasteful number, since it uses less digits than its factorization.

342825560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15937 (or 15926 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 342825560 is about 18515.5491411948. The cubic root of 342825560 is about 699.8813132108.

The spelling of 342825560 in words is "three hundred forty-two million, eight hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 15901 21560 31802 63604 79505 111307 127208 159010 174911 222614 318020 349822 445228 556535 636040 699644 779149 874555 890456 1113070 1224377 1399288 1558298 1749110 2226140 2448754 3116596 3498220 3895745 4452280 4897508 6121885 6233192 6996440 7791490 8570639 9795016 12243770 15582980 17141278 24487540 31165960 34282556 42853195 48975080 68565112 85706390 171412780 342825560