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355005342 = 23453173239
BaseRepresentation
bin10101001010001…
…111001110011110
3220202000010210000
4111022033032132
51211340132332
655120555130
711540331666
oct2512171636
9822003700
10355005342
1117243384a
129aa82aa6
1358719543
14352111a6
1521276b7c
hex1528f39e

355005342 has 80 divisors (see below), whose sum is σ = 818579520. Its totient is φ = 114948288.

The previous prime is 355005337. The next prime is 355005383. The reversal of 355005342 is 243500553.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1485259 + ... + 1485497.

It is an arithmetic number, because the mean of its divisors is an integer number (10232244).

Almost surely, 2355005342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355005342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409289760).

355005342 is an abundant number, since it is smaller than the sum of its proper divisors (463574178).

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

355005342 is a wasteful number, since it uses less digits than its factorization.

355005342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 355005342 is about 18841.5854428442. The cubic root of 355005342 is about 708.0734267426.

Adding to 355005342 its reverse (243500553), we get a palindrome (598505895).

The spelling of 355005342 in words is "three hundred fifty-five million, five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 173 239 318 346 477 478 519 717 954 1038 1431 1434 1557 2151 2862 3114 4293 4302 4671 6453 8586 9169 9342 12667 12906 14013 18338 19359 25334 27507 28026 38001 38718 41347 55014 76002 82521 82694 114003 124041 165042 228006 247563 248082 342009 372123 495126 684018 742689 744246 1026027 1116369 1485378 2052054 2191391 2232738 3349107 4382782 6574173 6698214 13148346 19722519 39445038 59167557 118335114 177502671 355005342