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34480893492 = 223219433972953
BaseRepresentation
bin100000000111001110…
…001010111000110100
310022000000212212200100
4200013032022320310
51031104102042432
623501301114100
72330316521163
oct400716127064
9108000785610
1034480893492
11136946246a1
1268236b8930
13333680c076
1419515bd3da
15d6c1e107c
hex80738ae34

34480893492 has 144 divisors (see below), whose sum is σ = 94149415360. Its totient is φ = 10605095424.

The previous prime is 34480893451. The next prime is 34480893493. The reversal of 34480893492 is 29439808443.

34480893492 is a `hidden beast` number, since 3 + 448 + 0 + 89 + 34 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34480893493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11675088 + ... + 11678040.

Almost surely, 234480893492 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 34480893492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47074707680).

34480893492 is an abundant number, since it is smaller than the sum of its proper divisors (59668521868).

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

34480893492 is a wasteful number, since it uses less digits than its factorization.

34480893492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 34480893492 in words is "thirty-four billion, four hundred eighty million, eight hundred ninety-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 397 516 684 774 794 817 1191 1548 1588 1634 2382 2451 2953 3268 3573 4764 4902 5906 7146 7353 7543 8859 9804 11812 14292 14706 15086 17071 17718 22629 26577 29412 30172 34142 35436 45258 51213 53154 56107 67887 68284 90516 102426 106308 112214 126979 135774 153639 168321 204852 224428 253958 271548 307278 324349 336642 380937 504963 507916 614556 648698 673284 761874 973047 1009926 1142811 1172341 1297396 1523748 1946094 2019852 2285622 2344682 2412601 2919141 3517023 3892188 4571244 4689364 4825202 5838282 7034046 7237803 9650404 10551069 11676564 14068092 14475606 21102138 21713409 22274479 28951212 42204276 43426818 44548958 50410663 66823437 86853636 89097916 100821326 133646874 151231989 200470311 201642652 267293748 302463978 400940622 453695967 604927956 801881244 907391934 957802597 1814783868 1915605194 2873407791 3831210388 5746815582 8620223373 11493631164 17240446746 34480893492