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34206260634 = 23471313916693
BaseRepresentation
bin11111110110110110…
…100001110110011010
310021021220010002020000
4133312312201312122
51030023300320014
623414130513430
72320443263250
oct376666416632
9107256102200
1034206260634
11135635a6997
126767735876
1332c1953610
141926d305d0
15d53043509
hex7f6da1d9a

34206260634 has 160 divisors (see below), whose sum is σ = 95019576960. Its totient is φ = 8955992448.

The previous prime is 34206260603. The next prime is 34206260651. The reversal of 34206260634 is 43606260243.

34206260634 is a `hidden beast` number, since 3 + 4 + 20 + 626 + 0 + 6 + 3 + 4 = 666.

It is a super-2 number, since 2×342062606342 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2040792 + ... + 2057484.

It is an arithmetic number, because the mean of its divisors is an integer number (593872356).

Almost surely, 234206260634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34206260634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47509788480).

34206260634 is an abundant number, since it is smaller than the sum of its proper divisors (60813316326).

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

34206260634 is a wasteful number, since it uses less digits than its factorization.

34206260634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16866 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34206260634 in words is "thirty-four billion, two hundred six million, two hundred sixty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 139 162 182 189 234 273 278 351 378 417 546 567 702 819 834 973 1053 1134 1251 1638 1807 1946 2106 2457 2502 2919 3614 3753 4914 5421 5838 7371 7506 8757 10842 11259 12649 14742 16263 16693 17514 22518 25298 26271 32526 33386 37947 48789 50079 52542 75894 78813 97578 100158 113841 116851 146367 150237 157626 217009 227682 233702 292734 300474 341523 350553 434018 450711 651027 683046 701106 901422 1024569 1051659 1302054 1352133 1519063 1953081 2049138 2103318 2320327 2704266 3038126 3154977 3906162 4557189 4640654 5859243 6309954 6960981 9114378 9464931 11718486 13671567 13921962 16242289 17577729 18929862 20882943 27343134 30164251 32484578 35155458 41014701 41765886 48726867 60328502 62648829 82029402 90492753 97453734 123044103 125297658 146180601 180985506 187946487 211149757 246088206 271478259 292361202 375892974 422299514 438541803 542956518 633449271 814434777 877083606 1266898542 1315625409 1628869554 1900347813 2443304331 2631250818 3800695626 4886608662 5701043439 11402086878 17103130317 34206260634