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34290929184 = 2532934392777
BaseRepresentation
bin11111111011111001…
…100000111000100000
310021111210102200122020
4133323321200320200
51030211434213214
623430353341440
72322522042321
oct377371407040
9107453380566
1034290929184
11135a73766a6
12678bb67880
133306359955
141934290448
15d5a6ba4a9
hex7fbe60e20

34290929184 has 96 divisors (see below), whose sum is σ = 90559244160. Its totient is φ = 11361257472.

The previous prime is 34290929131. The next prime is 34290929213. The reversal of 34290929184 is 48192909243.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12346804 + ... + 12349580.

It is an arithmetic number, because the mean of its divisors is an integer number (943325460).

Almost surely, 234290929184 is an apocalyptic number.

It is an amenable number.

34290929184 is an abundant number, since it is smaller than the sum of its proper divisors (56268314976).

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

34290929184 is a wasteful number, since it uses less digits than its factorization.

34290929184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 34290929184 in words is "thirty-four billion, two hundred ninety million, nine hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 439 586 878 879 1172 1317 1756 1758 2344 2634 2777 3512 3516 4688 5268 5554 7024 7032 8331 9376 10536 11108 14048 14064 16662 21072 22216 28128 33324 42144 44432 66648 88864 128627 133296 257254 266592 385881 514508 771762 813661 1029016 1219103 1543524 1627322 2058032 2438206 2440983 3087048 3254644 3657309 4116064 4876412 4881966 6174096 6509288 7314618 9752824 9763932 12348192 13018576 14629236 19505648 19527864 26037152 29258472 39011296 39055728 58516944 78111456 117033888 357197179 714394358 1071591537 1428788716 2143183074 2857577432 4286366148 5715154864 8572732296 11430309728 17145464592 34290929184