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355423040 = 26571011571
BaseRepresentation
bin10101001011110…
…101001101000000
3220202210100202022
4111023311031000
51211442014130
655133541012
711544021530
oct2513651500
9822710668
10355423040
11172699655
129b044768
13588346bb
14352bd4c0
152130a7e5
hex152f5340

355423040 has 112 divisors (see below), whose sum is σ = 977457024. Its totient is φ = 120576000.

The previous prime is 355423009. The next prime is 355423051. The reversal of 355423040 is 40324553.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225455 + ... + 227025.

Almost surely, 2355423040 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 355423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488728512).

355423040 is an abundant number, since it is smaller than the sum of its proper divisors (622033984).

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

355423040 is a wasteful number, since it uses less digits than its factorization.

355423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 355423040 is about 18852.6666548794. Note that the first 4 decimals coincide. The cubic root of 355423040 is about 708.3510234413.

Adding to 355423040 its reverse (40324553), we get a palindrome (395747593).

The spelling of 355423040 in words is "three hundred fifty-five million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 140 160 202 224 280 320 404 448 505 560 707 808 1010 1120 1414 1571 1616 2020 2240 2828 3142 3232 3535 4040 5656 6284 6464 7070 7855 8080 10997 11312 12568 14140 15710 16160 21994 22624 25136 28280 31420 32320 43988 45248 50272 54985 56560 62840 87976 100544 109970 113120 125680 158671 175952 219940 226240 251360 317342 351904 439880 502720 634684 703808 793355 879760 1110697 1269368 1586710 1759520 2221394 2538736 3173420 3519040 4442788 5077472 5553485 6346840 8885576 10154944 11106970 12693680 17771152 22213940 25387360 35542304 44427880 50774720 71084608 88855760 177711520 355423040