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345425672730 = 235237952112163
BaseRepresentation
bin1010000011011001111…
…10010111101000011010
31020000121022100022000110
411001230332113220122
521124412433011410
6422404130545150
733645653526105
oct5015476275032
91200538308013
10345425672730
11123548872596
1256b424381b6
132675bc9c7b8
1412a0c13973c
158eba682720
hex506cf97a1a

345425672730 has 128 divisors (see below), whose sum is σ = 877769809920. Its totient is φ = 86819166720.

The previous prime is 345425672717. The next prime is 345425672731. The reversal of 345425672730 is 37276524543.

It is a self number, because there is not a number n which added to its sum of digits gives 345425672730.

It is not an unprimeable number, because it can be changed into a prime (345425672731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28393629 + ... + 28405791.

It is an arithmetic number, because the mean of its divisors is an integer number (6857576640).

Almost surely, 2345425672730 is an apocalyptic number.

345425672730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345425672730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438884904960).

345425672730 is an abundant number, since it is smaller than the sum of its proper divisors (532344137190).

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

345425672730 is a wasteful number, since it uses less digits than its factorization.

345425672730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12796.

The product of its (nonzero) digits is 4233600, while the sum is 48.

The spelling of 345425672730 in words is "three hundred forty-five billion, four hundred twenty-five million, six hundred seventy-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 79 115 138 158 230 237 345 395 474 521 690 790 1042 1185 1563 1817 2370 2605 3126 3634 5210 5451 7815 9085 10902 11983 12163 15630 18170 23966 24326 27255 35949 36489 41159 54510 59915 60815 71898 72978 82318 119830 121630 123477 179745 182445 205795 246954 279749 359490 364890 411590 559498 617385 839247 946657 960877 1234770 1398745 1678494 1893314 1921754 2797490 2839971 2882631 4196235 4733285 4804385 5679942 5765262 6336923 8392470 9466570 9608770 12673846 14199855 14413155 19010769 22100171 28399710 28826310 31684615 38021538 44200342 63369230 66300513 95053845 110500855 132601026 145749229 190107690 221001710 291498458 331502565 437247687 500616917 663005130 728746145 874495374 1001233834 1457492290 1501850751 2186238435 2503084585 3003701502 4372476870 5006169170 7509253755 11514189091 15018507510 23028378182 34542567273 57570945455 69085134546 115141890910 172712836365 345425672730