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342795420 = 2232511215739
BaseRepresentation
bin10100011011101…
…010010010011100
3212220000210220200
4110123222102130
51200223423140
654003143500
711331466362
oct2433522234
9786023820
10342795420
11166554300
1296974b90
1356032b36
1433753632
1520164030
hex146ea49c

342795420 has 108 divisors (see below), whose sum is σ = 1143007320. Its totient is φ = 83096640.

The previous prime is 342795407. The next prime is 342795421. The reversal of 342795420 is 24597243.

342795420 is a `hidden beast` number, since 3 + 42 + 79 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342795421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13911 + ... + 29649.

Almost surely, 2342795420 is an apocalyptic number.

342795420 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 342795420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571503660).

342795420 is an abundant number, since it is smaller than the sum of its proper divisors (800211900).

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

342795420 is a wasteful number, since it uses less digits than its factorization.

342795420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15776 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 342795420 is about 18514.7352127974. The cubic root of 342795420 is about 699.8608022538.

The spelling of 342795420 in words is "three hundred forty-two million, seven hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 15739 21780 31478 47217 62956 78695 94434 141651 157390 173129 188868 236085 283302 314780 346258 472170 519387 566604 692516 708255 865645 944340 1038774 1416510 1558161 1731290 1904419 2077548 2596935 2833020 3116322 3462580 3808838 5193870 5713257 6232644 7617676 7790805 9522095 10387740 11426514 15581610 17139771 19044190 22853028 28566285 31163220 34279542 38088380 57132570 68559084 85698855 114265140 171397710 342795420