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342341120 = 2951112157
BaseRepresentation
bin10100011001111…
…011011000000000
3212212011201201202
4110121323120000
51200114403440
653545320332
711324565032
oct2431733000
9785151652
10342341120
11166273a50
12967960a8
1355c04114
1433675c52
15200c4615
hex1467b600

342341120 has 80 divisors (see below), whose sum is σ = 895509648. Its totient is φ = 124477440.

The previous prime is 342341119. The next prime is 342341141. The reversal of 342341120 is 21143243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 342341092 and 342341101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22082 + ... + 34238.

Almost surely, 2342341120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447754824).

342341120 is an abundant number, since it is smaller than the sum of its proper divisors (553168528).

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

342341120 is a wasteful number, since it uses less digits than its factorization.

342341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 342341120 is about 18502.4625388082. The cubic root of 342341120 is about 699.5514950075.

Adding to 342341120 its reverse (21143243), we get a palindrome (363484363).

The spelling of 342341120 in words is "three hundred forty-two million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 12157 14080 24314 28160 48628 60785 97256 121570 133727 194512 243140 267454 389024 486280 534908 668635 778048 972560 1069816 1337270 1556096 1945120 2139632 2674540 3112192 3890240 4279264 5349080 6224384 7780480 8558528 10698160 15560960 17117056 21396320 31121920 34234112 42792640 68468224 85585280 171170560 342341120