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332134434 = 23231613971
BaseRepresentation
bin10011110010111…
…111100000100010
3212010222011210100
4103302333200202
51140011300214
652542443230
711142044652
oct2362774042
9763864710
10332134434
11160532575
1293293516
1353a6c468
143217a362
151e25a309
hex13cbf822

332134434 has 48 divisors (see below), whose sum is σ = 744816384. Its totient is φ = 106855200.

The previous prime is 332134427. The next prime is 332134469. The reversal of 332134434 is 434431233.

332134434 is a `hidden beast` number, since 3 + 3 + 213 + 443 + 4 = 666.

332134434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321344342 = 220626564497000712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332134398 and 332134407.

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, 341569 + ... + 342539.

It is an arithmetic number, because the mean of its divisors is an integer number (15517008).

Almost surely, 2332134434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332134434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372408192).

332134434 is an abundant number, since it is smaller than the sum of its proper divisors (412681950).

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

332134434 is a wasteful number, since it uses less digits than its factorization.

332134434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1620 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 332134434 is about 18224.5557970558. Note that the first 3 decimals coincide. The cubic root of 332134434 is about 692.5290053754.

Adding to 332134434 its reverse (434431233), we get a palindrome (766565667).

The spelling of 332134434 in words is "three hundred thirty-two million, one hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 613 971 1226 1839 1942 2913 3678 5517 5826 8739 11034 17478 19003 30101 38006 57009 60202 90303 114018 171027 180606 270909 342054 541818 595223 1190446 1785669 3571338 5357007 10714014 18451913 36903826 55355739 110711478 166067217 332134434