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345192160104 = 233211835251189
BaseRepresentation
bin1010000010111110000…
…11100101101101101000
31020000000000221121220200
411001133003211231220
521123423143110404
6422325025552200
733640116643221
oct5013703455550
91200000847820
10345192160104
11123438a80050
1256a981a5660
13267227b074c
14129c9112248
158ea4e08839
hex505f0e5b68

345192160104 has 96 divisors (see below), whose sum is σ = 1032173906400. Its totient is φ = 103343379840.

The previous prime is 345192160069. The next prime is 345192160109. The reversal of 345192160104 is 401061291543.

It is a happy number.

345192160104 is a `hidden beast` number, since 3 + 45 + 1 + 9 + 2 + 1 + 601 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345192160109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2559859 + ... + 2691330.

It is an arithmetic number, because the mean of its divisors is an integer number (10751811525).

Almost surely, 2345192160104 is an apocalyptic number.

It is an amenable number.

345192160104 is an abundant number, since it is smaller than the sum of its proper divisors (686981746296).

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

345192160104 is a wasteful number, since it uses less digits than its factorization.

345192160104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251295 (or 5251288 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 345192160104 in words is "three hundred forty-five billion, one hundred ninety-two million, one hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 7304 8217 10956 16434 21912 32868 65736 5251189 10502378 15753567 21004756 31507134 42009512 47260701 57763079 63014268 94521402 115526158 126028536 173289237 189042804 231052316 346578474 378085608 435848687 462104632 519867711 693156948 871697374 1039735422 1307546061 1386313896 1743394748 2079470844 2615092122 3486789496 3922638183 4158941688 4794335557 5230184244 7845276366 9588671114 10460368488 14383006671 15690552732 19177342228 28766013342 31381105464 38354684456 43149020013 57532026684 86298040026 115064053368 172596080052 345192160104