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34434043490 = 25711172990709
BaseRepresentation
bin100000000100011011…
…011100111001100010
310021212202201122120002
4200010123130321202
51031010103342430
623452505020002
72326210353230
oct400433347142
9107782648502
1034434043490
1113670135590
12680ba84602
133329bb7682
1419492a5950
15d68039845
hex8046dce62

34434043490 has 128 divisors (see below), whose sum is σ = 84643315200. Its totient is φ = 9752924160.

The previous prime is 34434043489. The next prime is 34434043493. The reversal of 34434043490 is 9434043443.

It is a happy number.

It is a super-2 number, since 2×344340434902 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34434043493) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334256 + ... + 424964.

It is an arithmetic number, because the mean of its divisors is an integer number (661275900).

Almost surely, 234434043490 is an apocalyptic number.

34434043490 is an abundant number, since it is smaller than the sum of its proper divisors (50209271710).

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

34434043490 is a wasteful number, since it uses less digits than its factorization.

34434043490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90780.

The product of its (nonzero) digits is 248832, while the sum is 38.

The spelling of 34434043490 in words is "thirty-four billion, four hundred thirty-four million, forty-three thousand, four hundred ninety".

Divisors: 1 2 5 7 10 11 14 17 22 29 34 35 55 58 70 77 85 110 119 145 154 170 187 203 238 290 319 374 385 406 493 595 638 770 935 986 1015 1190 1309 1595 1870 2030 2233 2465 2618 3190 3451 4466 4930 5423 6545 6902 10846 11165 13090 17255 22330 27115 34510 37961 54230 75922 90709 181418 189805 379610 453545 634963 907090 997799 1269926 1542053 1995598 2630561 3084106 3174815 4988995 5261122 6349630 6984593 7710265 9977990 10794371 13152805 13969186 15420530 16962583 18413927 21588742 26305610 28936171 33925166 34922965 36827854 44719537 53971855 57872342 69845930 84812915 89439074 92069635 107943710 118738081 144680855 169625830 184139270 202553197 223597685 237476162 289361710 313036759 405106394 447195370 491914907 593690405 626073518 983829814 1012765985 1187380810 1565183795 2025531970 2459574535 3130367590 3443404349 4919149070 6886808698 17217021745 34434043490