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342952272 = 24331379773
BaseRepresentation
bin10100011100010…
…000100101010000
3212220022210002000
4110130100211100
51200243433042
654010354000
711333021565
oct2434204520
9786283060
10342952272
11166651133
1296a2b900
1356089350
143379486c
152019574c
hex14710950

342952272 has 160 divisors (see below), whose sum is σ = 1074931200. Its totient is φ = 104053248.

The previous prime is 342952243. The next prime is 342952273. The reversal of 342952272 is 272259243.

342952272 is a `hidden beast` number, since 3 + 429 + 5 + 227 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342952273) 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, 443278 + ... + 444050.

It is an arithmetic number, because the mean of its divisors is an integer number (6718320).

Almost surely, 2342952272 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 342952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537465600).

342952272 is an abundant number, since it is smaller than the sum of its proper divisors (731978928).

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

342952272 is a wasteful number, since it uses less digits than its factorization.

342952272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 342952272 is about 18518.9705977411. The cubic root of 342952272 is about 699.9675304667.

The spelling of 342952272 in words is "three hundred forty-two million, nine hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 79 104 108 117 144 156 158 208 216 234 237 312 316 351 432 468 474 624 632 702 711 773 936 948 1027 1264 1404 1422 1546 1872 1896 2054 2133 2319 2808 2844 3081 3092 3792 4108 4266 4638 5616 5688 6162 6184 6957 8216 8532 9243 9276 10049 11376 12324 12368 13914 16432 17064 18486 18552 20098 20871 24648 27729 27828 30147 34128 36972 37104 40196 41742 49296 55458 55656 60294 61067 73944 80392 83484 90441 110916 111312 120588 122134 147888 160784 166968 180882 183201 221832 241176 244268 271323 333936 361764 366402 443664 482352 488536 542646 549603 723528 732804 793871 977072 1085292 1099206 1447056 1465608 1587742 1648809 2170584 2198412 2381613 2931216 3175484 3297618 4341168 4396824 4763226 6350968 6595236 7144839 8793648 9526452 12701936 13190472 14289678 19052904 21434517 26380944 28579356 38105808 42869034 57158712 85738068 114317424 171476136 342952272