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161340804 = 2232292732
BaseRepresentation
bin10011001110111…
…01110110000100
3102020120221222100
421213131312010
5312300401204
624002032100
73666242232
oct1147356604
9366527870
10161340804
1183088809
1246048630
132756cb41
14175db952
15e26ea39
hex99ddd84

161340804 has 81 divisors (see below), whose sum is σ = 428247183. Its totient is φ = 51214464.

The previous prime is 161340797. The next prime is 161340811. The reversal of 161340804 is 408043161.

The square root of 161340804 is 12702.

It is a perfect power (a square), and thus also a powerful number.

161340804 is a `hidden beast` number, since 1 + 613 + 40 + 8 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (161340797) and next prime (161340811).

It can be written as a sum of positive squares in 4 ways, for example, as 1368900 + 159971904 = 1170^2 + 12648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2210112 + ... + 2210184.

Almost surely, 2161340804 is an apocalyptic number.

161340804 is the 12702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161340804

161340804 is an abundant number, since it is smaller than the sum of its proper divisors (266906379).

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

161340804 is a wasteful number, since it uses less digits than its factorization.

161340804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 161340804 is about 544.3957661077.

Multiplying 161340804 by its product of nonzero digits (2304), we get a square (371729212416 = 6096962).

Adding to 161340804 its reverse (408043161), we get a palindrome (569383965).

The spelling of 161340804 in words is "one hundred sixty-one million, three hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 73 87 116 146 174 219 261 292 348 438 522 657 841 876 1044 1314 1682 2117 2523 2628 3364 4234 5046 5329 6351 7569 8468 10092 10658 12702 15138 15987 19053 21316 25404 30276 31974 38106 47961 61393 63948 76212 95922 122786 154541 184179 191844 245572 309082 368358 463623 552537 618164 736716 927246 1105074 1390869 1854492 2210148 2781738 4481689 5563476 8963378 13445067 17926756 26890134 40335201 53780268 80670402 161340804