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34542030210 = 235171929122921
BaseRepresentation
bin100000001010110111…
…011000110110000010
310022011021220221111020
4200022313120312002
51031220224431320
623511323330310
72331661261302
oct401267306602
9108137827436
1034542030210
1113716091606
126840080996
13334639653c
141959775602
15d7276a940
hex80add8d82

34542030210 has 128 divisors (see below), whose sum is σ = 95584147200. Its totient is φ = 7929815040.

The previous prime is 34542030151. The next prime is 34542030241. The reversal of 34542030210 is 1203024543.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219550 + ... + 342470.

It is an arithmetic number, because the mean of its divisors is an integer number (746751150).

Almost surely, 234542030210 is an apocalyptic number.

34542030210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34542030210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47792073600).

34542030210 is an abundant number, since it is smaller than the sum of its proper divisors (61042116990).

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

34542030210 is a wasteful number, since it uses less digits than its factorization.

34542030210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122996.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34542030210 its reverse (1203024543), we get a palindrome (35745054753).

The spelling of 34542030210 in words is "thirty-four billion, five hundred forty-two million, thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 19 29 30 34 38 51 57 58 85 87 95 102 114 145 170 174 190 255 285 290 323 435 493 510 551 570 646 870 969 986 1102 1479 1615 1653 1938 2465 2755 2958 3230 3306 4845 4930 5510 7395 8265 9367 9690 14790 16530 18734 28101 46835 56202 93670 122921 140505 245842 281010 368763 614605 737526 1229210 1843815 2089657 2335499 3564709 3687630 4179314 4670998 6268971 7006497 7129418 10448285 10694127 11677495 12537942 14012994 17823545 20896570 21388254 23354990 31344855 35032485 35647090 39703483 53470635 60600053 62689710 67729471 70064970 79406966 106941270 119110449 121200106 135458942 181800159 198517415 203188413 238220898 303000265 338647355 363600318 397034830 406376826 595552245 606000530 677294710 909000795 1015942065 1151401007 1191104490 1818001590 2031884130 2302802014 3454203021 5757005035 6908406042 11514010070 17271015105 34542030210