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34430141232 = 243564713687
BaseRepresentation
bin100000000100001100…
…100100001100110000
310021212111101101200000
4200010030210030300
51031003104004412
623452245230000
72326132241334
oct400414441460
9107774341600
1034430141232
1113668a0a783
12680a702300
13332914c446
14194896b7c4
15d67a184dc
hex804324330

34430141232 has 120 divisors (see below), whose sum is σ = 100087094016. Its totient is φ = 11458138176.

The previous prime is 34430141189. The next prime is 34430141297. The reversal of 34430141232 is 23214103443.

34430141232 is a `hidden beast` number, since 344 + 301 + 4 + 12 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34430141196 and 34430141205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2508693 + ... + 2522379.

Almost surely, 234430141232 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 34430141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50043547008).

34430141232 is an abundant number, since it is smaller than the sum of its proper divisors (65656952784).

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

34430141232 is a wasteful number, since it uses less digits than its factorization.

34430141232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14357 (or 14339 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34430141232 its reverse (23214103443), we get a palindrome (57644244675).

The spelling of 34430141232 in words is "thirty-four billion, four hundred thirty million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 647 648 972 1294 1296 1941 1944 2588 3882 3888 5176 5823 7764 10352 11646 13687 15528 17469 23292 27374 31056 34938 41061 46584 52407 54748 69876 82122 93168 104814 109496 123183 139752 157221 164244 209628 218992 246366 279504 314442 328488 369549 419256 492732 628884 656976 739098 838512 985464 1108647 1257768 1478196 1970928 2217294 2515536 2956392 3325941 4434588 5912784 6651882 8855489 8869176 13303764 17710978 17738352 26566467 26607528 35421956 53132934 53215056 70843912 79699401 106265868 141687824 159398802 212531736 239098203 318797604 425063472 478196406 637595208 717294609 956392812 1275190416 1434589218 1912785624 2151883827 2869178436 3825571248 4303767654 5738356872 8607535308 11476713744 17215070616 34430141232