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342835920 = 24325768023
BaseRepresentation
bin10100011011110…
…100001011010000
3212220002212110200
4110123310023100
51200231222140
654004055200
711332025430
oct2433641320
9786085420
10342835920
11166581779
1296994500
13560483bb
14337642c0
1520171030
hex146f42d0

342835920 has 120 divisors (see below), whose sum is σ = 1315856256. Its totient is φ = 78361344.

The previous prime is 342835919. The next prime is 342835931. The reversal of 342835920 is 29538243.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 28972 + ... + 39051.

Almost surely, 2342835920 is an apocalyptic number.

342835920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342835920 is an abundant number, since it is smaller than the sum of its proper divisors (973020336).

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

342835920 is a wasteful number, since it uses less digits than its factorization.

342835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68049 (or 68040 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 342835920 is about 18515.8289039405. The cubic root of 342835920 is about 699.8883631493. Note that the first 3 decimals are identical.

The spelling of 342835920 in words is "three hundred forty-two million, eight hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 68023 136046 204069 272092 340115 408138 476161 544184 612207 680230 816276 952322 1020345 1088368 1224414 1360460 1428483 1632552 1904644 2040690 2380805 2448828 2720920 2856966 3061035 3265104 3809288 4081380 4285449 4761610 4897656 5441840 5713932 6122070 7142415 7618576 8162760 8570898 9523220 9795312 11427864 12244140 14284830 16325520 17141796 19046440 21427245 22855728 24488280 28569660 34283592 38092880 42854490 48976560 57139320 68567184 85708980 114278640 171417960 342835920