Search a number
-
+
1343835045 = 325724712967
BaseRepresentation
bin101000000011001…
…0100101110100101
310110122122220010100
41100012110232211
510223010210140
6341203014313
745205260300
oct12006245645
93418586110
101343835045
1162a618183
1231606a399
13185545287
14ca691b37
157ce9d530
hex50194ba5

1343835045 has 72 divisors (see below), whose sum is σ = 2767474944. Its totient is φ = 601207488.

The previous prime is 1343835041. The next prime is 1343835049. The reversal of 1343835045 is 5405383431.

It is an interprime number because it is at equal distance from previous prime (1343835041) and next prime (1343835049).

It is not a de Polignac number, because 1343835045 - 22 = 1343835041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343835041) 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 71 ways as a sum of consecutive naturals, for example, 97152 + ... + 110118.

It is an arithmetic number, because the mean of its divisors is an integer number (38437152).

Almost surely, 21343835045 is an apocalyptic number.

1343835045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1343835045 is an abundant number, since it is smaller than the sum of its proper divisors (1423639899).

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

1343835045 is a wasteful number, since it uses less digits than its factorization.

1343835045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1343835045 is about 36658.3557323566. The cubic root of 1343835045 is about 1103.5245200606.

The spelling of 1343835045 in words is "one billion, three hundred forty-three million, eight hundred thirty-five thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 49 63 105 141 147 235 245 315 329 423 441 705 735 987 1645 2115 2205 2303 2961 4935 6909 11515 12967 14805 20727 34545 38901 64835 90769 103635 116703 194505 272307 453845 583515 609449 635383 816921 1361535 1828347 1906149 3047245 3176915 4084605 4266143 5485041 5718447 9141735 9530745 12798429 21330715 27425205 28592235 29863001 38395287 63992145 89589003 149315005 191976435 268767009 447945015 1343835045