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342345344 = 27111967191
BaseRepresentation
bin10100011001111…
…100011010000000
3212212011221112012
4110121330122000
51200120022334
653545352052
711324613245
oct2431743200
9785157465
10342345344
11166277140
1296798628
1355c06013
14336775cc
15200c59ce
hex1467c680

342345344 has 128 divisors (see below), whose sum is σ = 799027200. Its totient is φ = 144460800.

The previous prime is 342345343. The next prime is 342345361. The reversal of 342345344 is 443543243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 342345344.

It is not an unprimeable number, because it can be changed into a prime (342345343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792289 + ... + 1792479.

It is an arithmetic number, because the mean of its divisors is an integer number (6242400).

Almost surely, 2342345344 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 342345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399513600).

342345344 is an abundant number, since it is smaller than the sum of its proper divisors (456681856).

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

342345344 is a wasteful number, since it uses less digits than its factorization.

342345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its digits is 69120, while the sum is 32.

The square root of 342345344 is about 18502.5766854241. The cubic root of 342345344 is about 699.5543721508.

Adding to 342345344 its reverse (443543243), we get a palindrome (785888587).

The spelling of 342345344 in words is "three hundred forty-two million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 67 76 88 128 134 152 176 191 209 268 304 352 382 418 536 608 704 737 764 836 1072 1216 1273 1408 1474 1528 1672 2101 2144 2432 2546 2948 3056 3344 3629 4202 4288 5092 5896 6112 6688 7258 8404 8576 10184 11792 12224 12797 13376 14003 14516 16808 20368 23584 24448 25594 26752 28006 29032 33616 39919 40736 47168 51188 56012 58064 67232 79838 81472 94336 102376 112024 116128 134464 140767 159676 162944 204752 224048 232256 243143 268928 281534 319352 409504 448096 464512 486286 563068 638704 819008 896192 972572 1126136 1277408 1638016 1792384 1945144 2252272 2554816 2674573 3890288 4504544 5109632 5349146 7780576 9009088 10698292 15561152 18018176 21396584 31122304 42793168 85586336 171172672 342345344