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342741504 = 2937127251
BaseRepresentation
bin10100011011011…
…101001000000000
3212212221001221210
4110123131020000
51200220212004
654002050120
711331153240
oct2433351000
9785831853
10342741504
11166517846
1296949940
1356014431
143373bb20
1520153089
hex146dd200

342741504 has 160 divisors (see below), whose sum is σ = 1055932416. Its totient is φ = 96768000.

The previous prime is 342741491. The next prime is 342741521. The reversal of 342741504 is 405147243.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 1365379 + ... + 1365629.

Almost surely, 2342741504 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 342741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208).

342741504 is an abundant number, since it is smaller than the sum of its proper divisors (713190912).

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

342741504 is a wasteful number, since it uses less digits than its factorization.

342741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 342741504 is about 18513.2791260760. The cubic root of 342741504 is about 699.8241081876.

Adding to 342741504 its reverse (405147243), we get a palindrome (747888747).

It can be divided in two parts, 34274 and 1504, that added together give a triangular number (35778 = T267).

The spelling of 342741504 in words is "three hundred forty-two million, seven hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 251 254 256 336 381 384 448 502 508 512 672 753 762 768 889 896 1004 1016 1344 1506 1524 1536 1757 1778 1792 2008 2032 2667 2688 3012 3048 3514 3556 3584 4016 4064 5271 5334 5376 6024 6096 7028 7112 8032 8128 10542 10668 10752 12048 12192 14056 14224 16064 16256 21084 21336 24096 24384 28112 28448 31877 32128 32512 42168 42672 48192 48768 56224 56896 63754 64256 65024 84336 85344 95631 96384 97536 112448 113792 127508 128512 168672 170688 191262 192768 195072 223139 224896 227584 255016 337344 341376 382524 385536 446278 449792 455168 510032 669417 674688 682752 765048 892556 899584 1020064 1338834 1349376 1365504 1530096 1785112 2040128 2677668 2698752 3060192 3570224 4080256 5355336 6120384 7140448 8160512 10710672 12240768 14280896 16321024 21421344 24481536 28561792 42842688 48963072 57123584 85685376 114247168 171370752 342741504