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355012434 = 23273197937
BaseRepresentation
bin10101001010010…
…000111101010010
3220202000111111200
4111022100331102
51211340344214
655121052030
711540361450
oct2512207522
9822014450
10355012434
11172439107
129aa87016
135871c83a
14352139d0
1521278d09
hex15290f52

355012434 has 96 divisors (see below), whose sum is σ = 917769216. Its totient is φ = 97044480.

The previous prime is 355012433. The next prime is 355012459. The reversal of 355012434 is 434210553.

It is a junction number, because it is equal to n+sod(n) for n = 355012398 and 355012407.

It is not an unprimeable number, because it can be changed into a prime (355012433) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 378414 + ... + 379350.

It is an arithmetic number, because the mean of its divisors is an integer number (9560096).

Almost surely, 2355012434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355012434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458884608).

355012434 is an abundant number, since it is smaller than the sum of its proper divisors (562756782).

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

355012434 is a wasteful number, since it uses less digits than its factorization.

355012434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 355012434 is about 18841.7736426272. The cubic root of 355012434 is about 708.0781418109.

Adding to 355012434 its reverse (434210553), we get a palindrome (789222987).

The spelling of 355012434 in words is "three hundred fifty-five million, twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 97 126 186 194 217 279 291 434 558 582 651 679 873 937 1302 1358 1746 1874 1953 2037 2811 3007 3906 4074 5622 6014 6111 6559 8433 9021 12222 13118 16866 18042 19677 21049 27063 29047 39354 42098 54126 58094 59031 63147 87141 90889 118062 126294 174282 181778 189441 203329 261423 272667 378882 406658 522846 545334 609987 636223 818001 1219974 1272446 1636002 1829961 1908669 2817559 3659922 3817338 5635118 5726007 8452677 11452014 16905354 19722913 25358031 39445826 50716062 59168739 118337478 177506217 355012434