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34092996280 = 23571312393889
BaseRepresentation
bin11111110000000110…
…011101011010111000
310020222222222122201221
4133300012131122320
51024310301340110
623355003121424
72314566454420
oct376006353270
9106888878657
1034092996280
1113505675792
126735813274
1332a43474a5
141915c89480
15d4811d7da
hex7f019d6b8

34092996280 has 128 divisors (see below), whose sum is σ = 88729344000. Its totient is φ = 11548293120.

The previous prime is 34092996241. The next prime is 34092996281. The reversal of 34092996280 is 8269929043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34092996281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8764576 + ... + 8768464.

It is an arithmetic number, because the mean of its divisors is an integer number (693198000).

Almost surely, 234092996280 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 34092996280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44364672000).

34092996280 is an abundant number, since it is smaller than the sum of its proper divisors (54636347720).

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

34092996280 is a wasteful number, since it uses less digits than its factorization.

34092996280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 34092996280 in words is "thirty-four billion, ninety-two million, nine hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 239 262 280 478 524 655 917 956 1048 1195 1310 1673 1834 1912 2390 2620 3346 3668 3889 4585 4780 5240 6692 7336 7778 8365 9170 9560 13384 15556 16730 18340 19445 27223 31112 31309 33460 36680 38890 54446 62618 66920 77780 108892 125236 136115 155560 156545 217784 219163 250472 272230 313090 438326 509459 544460 626180 876652 929471 1018918 1088920 1095815 1252360 1753304 1858942 2037836 2191630 2547295 3566213 3717884 4075672 4383260 4647355 5094590 6506297 7132426 7435768 8766520 9294710 10189180 13012594 14264852 17831065 18589420 20378360 26025188 28529704 32531485 35662130 37178840 52050376 65062970 71324260 121760701 130125940 142648520 243521402 260251880 487042804 608803505 852324907 974085608 1217607010 1704649814 2435214020 3409299628 4261624535 4870428040 6818599256 8523249070 17046498140 34092996280