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34932443868 = 223273114930011
BaseRepresentation
bin100000100010001000…
…101100101011011100
310100011111120000100100
4200202020230223130
51033020201200433
624014151301100
72344441605450
oct404210545334
9110144500310
1034932443868
11138a64aa123
12692a97a790
1333a922c63a
141995562660
15d96b88b13
hex82222cadc

34932443868 has 144 divisors (see below), whose sum is σ = 104873932800. Its totient is φ = 9593596800.

The previous prime is 34932443857. The next prime is 34932443891. The reversal of 34932443868 is 86834423943.

34932443868 is a `hidden beast` number, since 34 + 93 + 2 + 443 + 86 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148983 + ... + 1178993.

It is an arithmetic number, because the mean of its divisors is an integer number (728291200).

Almost surely, 234932443868 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 34932443868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436966400).

34932443868 is an abundant number, since it is smaller than the sum of its proper divisors (69941488932).

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

34932443868 is a wasteful number, since it uses less digits than its factorization.

34932443868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30208 (or 30203 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 34932443868 in words is "thirty-four billion, nine hundred thirty-two million, four hundred forty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 149 186 217 252 279 298 372 434 447 558 596 651 868 894 1043 1116 1302 1341 1788 1953 2086 2604 2682 3129 3906 4172 4619 5364 6258 7812 9238 9387 12516 13857 18476 18774 27714 30011 32333 37548 41571 55428 60022 64666 83142 90033 96999 120044 129332 166284 180066 193998 210077 270099 290997 360132 387996 420154 540198 581994 630231 840308 930341 1080396 1163988 1260462 1860682 1890693 2520924 2791023 3721364 3781386 4471639 5582046 6512387 7562772 8373069 8943278 11164092 13024774 13414917 16746138 17886556 19537161 26049548 26829834 31301473 33492276 39074322 40244751 53659668 58611483 62602946 78148644 80489502 93904419 117222966 125205892 138620809 160979004 187808838 234445932 277241618 281713257 375617676 415862427 554483236 563426514 831724854 970345663 1126853028 1247587281 1663449708 1940691326 2495174562 2911036989 3881382652 4990349124 5822073978 8733110967 11644147956 17466221934 34932443868