Search a number
-
+
342426546 = 2327111714533
BaseRepresentation
bin10100011010010…
…000001110110010
3212212100001220200
4110122100032302
51200130122141
653551220030
711325402060
oct2432201662
9785301820
10342426546
11166322150
1296817616
1355c33c77
1433699030
15200deab6
hex146903b2

342426546 has 96 divisors (see below), whose sum is σ = 979475328. Its totient is φ = 83704320.

The previous prime is 342426541. The next prime is 342426551. The reversal of 342426546 is 645624243.

It is an interprime number because it is at equal distance from previous prime (342426541) and next prime (342426551).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 342426546.

It is not an unprimeable number, because it can be changed into a prime (342426541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16296 + ... + 30828.

It is an arithmetic number, because the mean of its divisors is an integer number (10202868).

Almost surely, 2342426546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342426546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489737664).

342426546 is an abundant number, since it is smaller than the sum of its proper divisors (637048782).

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

342426546 is a wasteful number, since it uses less digits than its factorization.

342426546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14576 (or 14573 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 342426546 is about 18504.7708983386. The cubic root of 342426546 is about 699.6096776335.

The spelling of 342426546 in words is "three hundred forty-two million, four hundred twenty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3927 7854 11781 14533 23562 29066 43599 87198 101731 130797 159863 203462 247061 261594 305193 319726 479589 494122 610386 741183 915579 959178 1119041 1438767 1482366 1729427 1831158 2223549 2238082 2717671 2877534 3357123 3458854 4447098 5188281 5435342 6714246 8153013 10071369 10376562 15564843 16306026 19023697 20142738 24459039 31129686 38047394 48918078 57071091 114142182 171213273 342426546