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34274248272 = 24321131697993
BaseRepresentation
bin11111111010111001…
…111000011001010000
310021110122001012201200
4133322321320121100
51030143201421042
623425000031200
72322230206035
oct377271703120
9107418035650
1034274248272
1113598a13020
126786462500
133302a691a4
141931d8b38c
15d58ec2c4c
hex7fae78650

34274248272 has 120 divisors (see below), whose sum is σ = 108015967488. Its totient is φ = 10051084800.

The previous prime is 34274248271. The next prime is 34274248289. The reversal of 34274248272 is 27284247243.

34274248272 is a `hidden beast` number, since 34 + 2 + 74 + 2 + 482 + 72 = 666.

It is a super-2 number, since 2×342742482722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34274248271) 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, 299893 + ... + 398100.

Almost surely, 234274248272 is an apocalyptic number.

It is an amenable number.

34274248272 is an abundant number, since it is smaller than the sum of its proper divisors (73741719216).

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

34274248272 is a wasteful number, since it uses less digits than its factorization.

34274248272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698049 (or 698040 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 45.

The spelling of 34274248272 in words is "thirty-four billion, two hundred seventy-four million, two hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 49104 697993 1395986 2093979 2791972 4187958 5583944 6281937 7677923 8375916 11167888 12563874 15355846 16751832 21637783 23033769 25127748 30711692 33503664 43275566 46067538 50255496 61423384 64913349 69101307 86551132 92135076 100510992 122846768 129826698 138202614 173102264 184270152 194740047 238015613 259653396 276405228 346204528 368540304 389480094 476031226 519306792 552810456 714046839 778960188 952062452 1038613584 1105620912 1428093678 1557920376 1904124904 2142140517 2856187356 3115840752 3808249808 4284281034 5712374712 8568562068 11424749424 17137124136 34274248272