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342114420 = 2235231731433
BaseRepresentation
bin10100011001000…
…100000001110100
3212211202012202110
4110121010001310
51200040130140
653540411020
711322632064
oct2431040164
9784665673
10342114420
1116612969a
12966a6a70
1355b54b8b
14336173a4
152007c380
hex14644074

342114420 has 96 divisors (see below), whose sum is σ = 1006048512. Its totient is φ = 86699008.

The previous prime is 342114401. The next prime is 342114497. The reversal of 342114420 is 24411243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238024 + ... + 239456.

It is an arithmetic number, because the mean of its divisors is an integer number (10479672).

Almost surely, 2342114420 is an apocalyptic number.

342114420 is a gapful number since it is divisible by the number (30) 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 342114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503024256).

342114420 is an abundant number, since it is smaller than the sum of its proper divisors (663934092).

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

342114420 is a wasteful number, since it uses less digits than its factorization.

342114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342114420 is about 18496.3353127045. The cubic root of 342114420 is about 699.3970454118.

Adding to 342114420 its reverse (24411243), we get a palindrome (366525663).

The spelling of 342114420 in words is "three hundred forty-two million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 173 230 276 345 346 460 519 690 692 865 1038 1380 1433 1730 2076 2595 2866 3460 3979 4299 5190 5732 7165 7958 8598 10380 11937 14330 15916 17196 19895 21495 23874 28660 32959 39790 42990 47748 59685 65918 79580 85980 98877 119370 131836 164795 197754 238740 247909 329590 395508 494385 495818 659180 743727 988770 991636 1239545 1487454 1977540 2479090 2974908 3718635 4958180 5701907 7437270 11403814 14874540 17105721 22807628 28509535 34211442 57019070 68422884 85528605 114038140 171057210 342114420