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2345412120 = 2335232929303
BaseRepresentation
bin1000101111001100…
…0010011000011000
320001110022021120120
42023303002120120
514300411141440
61024422153240
7112056450132
oct21363023030
96043267516
102345412120
11aa3a18927
12555582820
132b4bb522c
141836d0052
15dad91dd0
hex8bcc2618

2345412120 has 128 divisors (see below), whose sum is σ = 7595596800. Its totient is φ = 577601024.

The previous prime is 2345412059. The next prime is 2345412137. The reversal of 2345412120 is 212145432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65389 + ... + 94691.

It is an arithmetic number, because the mean of its divisors is an integer number (59340600).

Almost surely, 22345412120 is an apocalyptic number.

2345412120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797798400).

2345412120 is an abundant number, since it is smaller than the sum of its proper divisors (5250184680).

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

2345412120 is a wasteful number, since it uses less digits than its factorization.

2345412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29369 (or 29365 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2345412120 is about 48429.4550867548. The cubic root of 2345412120 is about 1328.6371401355.

Adding to 2345412120 its reverse (212145432), we get a palindrome (2557557552).

The spelling of 2345412120 in words is "two billion, three hundred forty-five million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 16008 20010 26680 29303 40020 58606 80040 87909 117212 146515 175818 234424 293030 351636 439545 586060 673969 703272 849787 879090 1172120 1347938 1699574 1758180 2021907 2549361 2695876 3369845 3399148 3516360 4043814 4248935 5098722 5391752 6739690 6798296 8087628 8497870 10109535 10197444 12746805 13479380 16175256 16995740 19545101 20219070 20394888 25493610 26958760 33991480 39090202 40438140 50987220 58635303 78180404 80876280 97725505 101974440 117270606 156360808 195451010 234541212 293176515 390902020 469082424 586353030 781804040 1172706060 2345412120