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342353440 = 255111321151
BaseRepresentation
bin10100011001111…
…110011000100000
3212212012100122001
4110121332120200
51200120302230
653545453344
711324645662
oct2431763040
9785170561
10342353440
11166282230
12967a1254
1355c09900
143367a532
15200c80ca
hex1467e620

342353440 has 144 divisors (see below), whose sum is σ = 956261376. Its totient is φ = 114816000.

The previous prime is 342353437. The next prime is 342353443. The reversal of 342353440 is 44353243.

It is an interprime number because it is at equal distance from previous prime (342353437) and next prime (342353443).

It is a junction number, because it is equal to n+sod(n) for n = 342353399 and 342353408.

It is not an unprimeable number, because it can be changed into a prime (342353443) by changing a digit.

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, 296865 + ... + 298015.

It is an arithmetic number, because the mean of its divisors is an integer number (6640704).

Almost surely, 2342353440 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 342353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478130688).

342353440 is an abundant number, since it is smaller than the sum of its proper divisors (613907936).

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

342353440 is a wasteful number, since it uses less digits than its factorization.

342353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 342353440 is about 18502.7954644697. The cubic root of 342353440 is about 699.5598866093.

It can be divided in two parts, 34235 and 3440, that added together give a triangular number (37675 = T274).

The spelling of 342353440 in words is "three hundred forty-two million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 169 176 208 220 260 286 338 352 416 440 520 572 676 715 845 880 1040 1144 1151 1352 1430 1690 1760 1859 2080 2288 2302 2704 2860 3380 3718 4576 4604 5408 5720 5755 6760 7436 9208 9295 11440 11510 12661 13520 14872 14963 18416 18590 22880 23020 25322 27040 29744 29926 36832 37180 46040 50644 59488 59852 63305 74360 74815 92080 101288 119704 126610 148720 149630 164593 184160 194519 202576 239408 253220 297440 299260 329186 389038 405152 478816 506440 598520 658372 778076 822965 972595 1012880 1197040 1316744 1556152 1645930 1945190 2025760 2139709 2394080 2633488 3112304 3291860 3890380 4279418 5266976 6224608 6583720 7780760 8558836 10698545 13167440 15561520 17117672 21397090 26334880 31123040 34235344 42794180 68470688 85588360 171176720 342353440