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32340321414 = 2334315192237
BaseRepresentation
bin11110000111101000…
…100010010010000110
310002110212000112211000
4132013220202102012
51012213110241124
622505033154130
72223265124232
oct360750422206
9102425015730
1032340321414
11127962a5165
12632685b946
1330851b717b
1417cb1b15c2
15c943126c9
hex787a22486

32340321414 has 64 divisors (see below), whose sum is σ = 74026529280. Its totient is φ = 10459562400.

The previous prime is 32340321389. The next prime is 32340321421. The reversal of 32340321414 is 41412304323.

32340321414 is a `hidden beast` number, since 32 + 3 + 403 + 214 + 14 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304504 + ... + 396740.

It is an arithmetic number, because the mean of its divisors is an integer number (1156664520).

Almost surely, 232340321414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32340321414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013264640).

32340321414 is an abundant number, since it is smaller than the sum of its proper divisors (41686207866).

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

32340321414 is a wasteful number, since it uses less digits than its factorization.

32340321414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92442 (or 92436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32340321414 its reverse (41412304323), we get a palindrome (73752625737).

The spelling of 32340321414 in words is "thirty-two billion, three hundred forty million, three hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 151 258 302 387 453 774 906 1161 1359 2322 2718 4077 6493 8154 12986 19479 38958 58437 92237 116874 175311 184474 276711 350622 553422 830133 1660266 2490399 3966191 4980798 7932382 11898573 13927787 23797146 27855574 35695719 41783361 71391438 83566722 107087157 125350083 214174314 250700166 376050249 598894841 752100498 1197789682 1796684523 3593369046 5390053569 10780107138 16170160707 32340321414