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342293728 = 2572329279
BaseRepresentation
bin10100011001101…
…111110011100000
3212212002022201111
4110121233303200
51200111344403
653544313104
711324306620
oct2431576340
9785068644
10342293728
11166241387
1296772794
1355bb868a
1433662880
15200b556d
hex1466fce0

342293728 has 144 divisors (see below), whose sum is σ = 842849280. Its totient is φ = 133765632.

The previous prime is 342293719. The next prime is 342293729. The reversal of 342293728 is 827392243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342293729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4332793 + ... + 4332871.

It is an arithmetic number, because the mean of its divisors is an integer number (5853120).

Almost surely, 2342293728 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 342293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421424640).

342293728 is an abundant number, since it is smaller than the sum of its proper divisors (500555552).

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

342293728 is a wasteful number, since it uses less digits than its factorization.

342293728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 342293728 is about 18501.1818000905. The cubic root of 342293728 is about 699.5192127093.

The spelling of 342293728 in words is "three hundred forty-two million, two hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 79 92 112 116 158 161 184 203 224 232 316 322 368 406 464 553 632 644 667 736 812 841 928 1106 1264 1288 1334 1624 1682 1817 2212 2291 2528 2576 2668 3248 3364 3634 4424 4582 4669 5152 5336 5887 6496 6728 7268 8848 9164 9338 10672 11774 12719 13456 14536 16037 17696 18328 18676 19343 21344 23548 25438 26912 29072 32074 36656 37352 38686 47096 50876 52693 58144 64148 66439 73312 74704 77372 94192 101752 105386 128296 132878 135401 149408 154744 188384 203504 210772 256592 265756 270802 309488 368851 407008 421544 465073 513184 531512 541604 618976 737702 843088 930146 1063024 1083208 1475404 1528097 1686176 1860292 2126048 2166416 2950808 3056194 3720584 4332832 5901616 6112388 7441168 10696679 11803232 12224776 14882336 21393358 24449552 42786716 48899104 85573432 171146864 342293728