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345423575466 = 23413930375051
BaseRepresentation
bin1010000011011001101…
…10010111100110101010
31020000121011101202010000
411001230312113212222
521124411413403331
6422404014003430
733645626642454
oct5015466274652
91200534352100
10345423575466
1112354766a912
1256b417a6576
132675b717008
1412a0bb512d4
158eba3bb0e6
hex506cd979aa

345423575466 has 80 divisors (see below), whose sum is σ = 779984140320. Its totient is φ = 114252573600.

The previous prime is 345423575377. The next prime is 345423575489. The reversal of 345423575466 is 664575324543.

345423575466 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 2 + 3 + 575 + 4 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon 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, 68384641 + ... + 68389691.

It is an arithmetic number, because the mean of its divisors is an integer number (9749801754).

Almost surely, 2345423575466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345423575466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389992070160).

345423575466 is an abundant number, since it is smaller than the sum of its proper divisors (434560564854).

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

345423575466 is a wasteful number, since it uses less digits than its factorization.

345423575466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8232 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 54.

The spelling of 345423575466 in words is "three hundred forty-five billion, four hundred twenty-three million, five hundred seventy-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1251 2502 3037 3753 5051 6074 7506 9111 10102 11259 15153 18222 22518 27333 30306 45459 54666 81999 90918 136377 163998 245997 272754 409131 422143 491994 702089 818262 844286 1266429 1404178 2106267 2532858 3799287 4212534 6318801 7598574 11397861 12637602 15339887 18956403 22795722 30679774 34193583 37912806 46019661 56869209 68387166 92039322 113738418 138058983 276117966 414176949 828353898 1242530847 2132244293 2485061694 4264488586 6396732879 12793465758 19190198637 38380397274 57570595911 115141191822 172711787733 345423575466