Search a number
-
+
342170304 = 2637298779
BaseRepresentation
bin10100011001010…
…001101011000000
3212211212001102020
4110121101223000
51200043422204
653541521440
711323254030
oct2431215300
9784761366
10342170304
11166167683
1296713280
1355b74448
143362d8c0
152008dbd9
hex14651ac0

342170304 has 112 divisors (see below), whose sum is σ = 1070457600. Its totient is φ = 94381056.

The previous prime is 342170267. The next prime is 342170317. The reversal of 342170304 is 403071243.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34587 + ... + 43365.

Almost surely, 2342170304 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 342170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535228800).

342170304 is an abundant number, since it is smaller than the sum of its proper divisors (728287296).

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

342170304 is a wasteful number, since it uses less digits than its factorization.

342170304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 342170304 is about 18497.8459286480. The cubic root of 342170304 is about 699.4351252414.

The spelling of 342170304 in words is "three hundred forty-two million, one hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 8779 9744 12992 17558 19488 26337 35116 38976 52674 61453 70232 105348 122906 140464 184359 210696 245812 254591 280928 368718 421392 491624 509182 561856 737436 763773 842784 983248 1018364 1474872 1527546 1685568 1782137 1966496 2036728 2949744 3055092 3564274 3932992 4073456 5346411 5899488 6110184 7128548 8146912 10692822 11798976 12220368 14257096 16293824 21385644 24440736 28514192 42771288 48881472 57028384 85542576 114056768 171085152 342170304