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1330434234 = 23537241307
BaseRepresentation
bin100111101001100…
…1101000010111010
310102201110001200000
41033103031002322
510211042343414
6340003453430
744653335003
oct11723150272
93381401600
101330434234
11622aa4a28
12311687276
131828327bc
14c89a41aa
157bc02b09
hex4f4cd0ba

1330434234 has 96 divisors (see below), whose sum is σ = 3092945856. Its totient is φ = 428302080.

The previous prime is 1330434179. The next prime is 1330434251. The reversal of 1330434234 is 4324340331.

1330434234 is a `hidden beast` number, since 13 + 304 + 342 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1330434198 and 1330434207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4333509 + ... + 4333815.

It is an arithmetic number, because the mean of its divisors is an integer number (32218186).

Almost surely, 21330434234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330434234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546472928).

1330434234 is an abundant number, since it is smaller than the sum of its proper divisors (1762511622).

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

1330434234 is a wasteful number, since it uses less digits than its factorization.

1330434234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

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

The square root of 1330434234 is about 36475.1180121463. The cubic root of 1330434234 is about 1099.8441195091.

Adding to 1330434234 its reverse (4324340331), we get a palindrome (5654774565).

The spelling of 1330434234 in words is "one billion, three hundred thirty million, four hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 241 243 307 333 482 486 614 666 723 921 999 1446 1842 1998 2169 2763 2997 4338 5526 5994 6507 8289 8917 8991 11359 13014 16578 17834 17982 19521 22718 24867 26751 34077 39042 49734 53502 58563 68154 73987 74601 80253 102231 117126 147974 149202 160506 204462 221961 240759 306693 443922 481518 613386 665883 722277 920079 1331766 1444554 1840158 1997649 2166831 2737519 2760237 3995298 4333662 5475038 5520474 5992947 8212557 11985894 16425114 17978841 24637671 35957682 49275342 73913013 147826026 221739039 443478078 665217117 1330434234