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1341000324 = 2232173759221
BaseRepresentation
bin100111111101110…
…0000101010000100
310110110022212121200
41033323200222010
510221244002244
6341022142500
745142212636
oct11773405204
93413285550
101341000324
11628a61434
12315121a30
13184a91c21
14ca154a56
157cadd669
hex4fee0a84

1341000324 has 72 divisors (see below), whose sum is σ = 3686214168. Its totient is φ = 409328640.

The previous prime is 1341000319. The next prime is 1341000371. The reversal of 1341000324 is 4230001431.

1341000324 is a `hidden beast` number, since 1 + 341 + 0 + 0 + 0 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 521208900 + 819791424 = 22830^2 + 28632^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1341000297 and 1341000306.

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, 6967 + ... + 52254.

It is an arithmetic number, because the mean of its divisors is an integer number (51197419).

Almost surely, 21341000324 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 1341000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843107084).

1341000324 is an abundant number, since it is smaller than the sum of its proper divisors (2345213844).

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

1341000324 is a wasteful number, since it uses less digits than its factorization.

1341000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59285 (or 59280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1341000324 is about 36619.6712710532. The cubic root of 1341000324 is about 1102.7480392760.

Adding to 1341000324 its reverse (4230001431), we get a palindrome (5571001755).

The spelling of 1341000324 in words is "one billion, three hundred forty-one million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 59221 118442 177663 236884 355326 532989 710652 1006757 1065978 2013514 2131956 2191177 3020271 4027028 4382354 6040542 6573531 8764708 9060813 12081084 13147062 18121626 19720593 26294124 36243252 37250009 39441186 74500018 78882372 111750027 149000036 223500054 335250081 447000108 670500162 1341000324