Search a number
-
+
345420342120 = 233572914179817
BaseRepresentation
bin1010000011011001010…
…10000010001101101000
31020000120221022110210110
411001230222002031220
521124410101421440
6422403420414320
733645560315010
oct5015452021550
91200527273713
10345420342120
11123545861627
1256b406a73a0
132675ab543a9
1412a0b54cc40
158eb9e7d080
hex506ca82368

345420342120 has 128 divisors (see below), whose sum is σ = 1225136275200. Its totient is φ = 76230690816.

The previous prime is 345420342097. The next prime is 345420342121. The reversal of 345420342120 is 21243024543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (345420342121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7065549 + ... + 7114268.

It is an arithmetic number, because the mean of its divisors is an integer number (9571377150).

Almost surely, 2345420342120 is an apocalyptic number.

345420342120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345420342120 is an abundant number, since it is smaller than the sum of its proper divisors (879715933080).

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

345420342120 is a wasteful number, since it uses less digits than its factorization.

345420342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14179867 (or 14179863 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 345420342120 its reverse (21243024543), we get a palindrome (366663366663).

The spelling of 345420342120 in words is "three hundred forty-five billion, four hundred twenty million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 8120 12180 24360 14179817 28359634 42539451 56719268 70899085 85078902 99258719 113438536 141798170 170157804 198517438 212697255 283596340 297776157 340315608 397034876 411214693 425394510 496293595 567192680 595552314 794069752 822429386 850789020 992587190 1191104628 1233644079 1488880785 1644858772 1701578040 1985174380 2056073465 2382209256 2467288158 2878502851 2977761570 3289717544 3970348760 4112146930 4934576316 5757005702 5955523140 6168220395 8224293860 8635508553 9869152632 11514011404 11911046280 12336440790 14392514255 16448587720 17271017106 23028022808 24672881580 28785028510 34542034212 43177542765 49345763160 57570057020 69084068424 86355085530 115140114040 172710171060 345420342120