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342390972 = 2237112316111
BaseRepresentation
bin10100011010000…
…111100010111100
3212212021021010010
4110122013202330
51200123002342
653550343220
711325163260
oct2432074274
9785237103
10342390972
111662a8450
12967bab10
1355c20a11
143368a0a0
15200d429c
hex146878bc

342390972 has 96 divisors (see below), whose sum is σ = 1039417344. Its totient is φ = 85060800.

The previous prime is 342390947. The next prime is 342390973. The reversal of 342390972 is 279093243.

342390972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 342390972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342390973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13197 + ... + 29307.

It is an arithmetic number, because the mean of its divisors is an integer number (10827264).

Almost surely, 2342390972 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 342390972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519708672).

342390972 is an abundant number, since it is smaller than the sum of its proper divisors (697026372).

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

342390972 is a wasteful number, since it uses less digits than its factorization.

342390972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16159 (or 16157 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 342390972 is about 18503.8096617967. The cubic root of 342390972 is about 699.5854497839.

It can be divided in two parts, 3423 and 90972, that added together give a triangular number (94395 = T434).

The spelling of 342390972 in words is "three hundred forty-two million, three hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 10626 16111 21252 32222 48333 64444 96666 112777 177221 193332 225554 338331 354442 370553 451108 531663 676662 708884 741106 1063326 1111659 1240547 1353324 1482212 2126652 2223318 2481094 2593871 3721641 4076083 4446636 4962188 5187742 7443282 7781613 8152166 10375484 12228249 14886564 15563226 16304332 24456498 28532581 31126452 48912996 57065162 85597743 114130324 171195486 342390972