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342453072 = 2431323107223
BaseRepresentation
bin10100011010010…
…110101101010000
3212212101102022010
4110122112231100
51200131444242
653551542520
711325542313
oct2432265520
9785342263
10342453072
11166340075
129682aa40
1355c43070
14336a497a
15200e789c
hex14696b50

342453072 has 160 divisors (see below), whose sum is σ = 1007935488. Its totient is φ = 99399168.

The previous prime is 342453037. The next prime is 342453079. The reversal of 342453072 is 270354243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342453079) 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 31 ways as a sum of consecutive naturals, for example, 1535553 + ... + 1535775.

Almost surely, 2342453072 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 342453072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

342453072 is an abundant number, since it is smaller than the sum of its proper divisors (665482416).

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

342453072 is a wasteful number, since it uses less digits than its factorization.

342453072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 342453072 is about 18505.4876185417. The cubic root of 342453072 is about 699.6277422056.

The spelling of 342453072 in words is "three hundred forty-two million, four hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 107 138 156 184 208 214 223 276 299 312 321 368 428 446 552 598 624 642 669 856 892 897 1104 1196 1284 1338 1391 1712 1784 1794 2392 2461 2568 2676 2782 2899 3568 3588 4173 4784 4922 5129 5136 5352 5564 5798 7176 7383 8346 8697 9844 10258 10704 11128 11596 14352 14766 15387 16692 17394 19688 20516 22256 23192 23861 29532 30774 31993 33384 34788 39376 41032 46384 47722 59064 61548 63986 66677 66768 69576 71583 82064 95444 95979 118128 123096 127972 133354 139152 143166 190888 191958 200031 246192 255944 266708 286332 310193 381776 383916 400062 511888 533416 548803 572664 620386 767832 800124 930579 1066832 1097606 1145328 1240772 1535664 1600248 1646409 1861158 2195212 2481544 3200496 3292818 3722316 4390424 4963088 6585636 7134439 7444632 8780848 13171272 14268878 14889264 21403317 26342544 28537756 42806634 57075512 85613268 114151024 171226536 342453072