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1340162334 = 234710111701
BaseRepresentation
bin100111111100001…
…0100000100011110
310110101202022010000
41033320110010132
510221040143314
6340552155130
745132122550
oct11770240436
93411668100
101340162334
11628539885
12314998aa6
1318485a684
14c9db74d0
157c9c5209
hex4fe1411e

1340162334 has 80 divisors (see below), whose sum is σ = 3466226016. Its totient is φ = 379080000.

The previous prime is 1340162323. The next prime is 1340162347. The reversal of 1340162334 is 4332610431.

1340162334 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 1 + 623 + 34 = 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 = 1340162298 and 1340162307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108684 + ... + 120384.

Almost surely, 21340162334 is an apocalyptic number.

1340162334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340162334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733113008).

1340162334 is an abundant number, since it is smaller than the sum of its proper divisors (2126063682).

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

1340162334 is a wasteful number, since it uses less digits than its factorization.

1340162334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11823 (or 11814 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1340162334 is about 36608.2276817657. The cubic root of 1340162334 is about 1102.5182892982.

Adding to 1340162334 its reverse (4332610431), we get a palindrome (5672772765).

The spelling of 1340162334 in words is "one billion, three hundred forty million, one hundred sixty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 303 378 567 606 707 909 1134 1414 1818 2121 2727 4242 5454 6363 8181 11701 12726 16362 19089 23402 35103 38178 57267 70206 81907 105309 114534 163814 210618 245721 315927 491442 631854 737163 947781 1181801 1474326 1895562 2211489 2363602 3545403 4422978 6634467 7090806 8272607 10636209 13268934 16545214 21272418 24817821 31908627 49635642 63817254 74453463 95725881 148906926 191451762 223360389 446720778 670081167 1340162334