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34251203430 = 2335319742187
BaseRepresentation
bin11111111001100001…
…111110001101100110
310021102000200102011000
4133321201332031212
51030121302002210
623422414054130
72321530265643
oct377141761546
9107360612130
1034251203430
1113586a030a4
12677a7aa346
1332cb05aba2
14192ccacdca
15d56e6eac0
hex7f987e366

34251203430 has 128 divisors (see below), whose sum is σ = 95257128960. Its totient is φ = 8747688960.

The previous prime is 34251203401. The next prime is 34251203443. The reversal of 34251203430 is 3430215243.

34251203430 is a `hidden beast` number, since 3 + 4 + 25 + 1 + 203 + 430 = 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 = 34251203394 and 34251203403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 790797 + ... + 832983.

It is an arithmetic number, because the mean of its divisors is an integer number (744196320).

Almost surely, 234251203430 is an apocalyptic number.

34251203430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34251203430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628564480).

34251203430 is an abundant number, since it is smaller than the sum of its proper divisors (61005925530).

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

34251203430 is a wasteful number, since it uses less digits than its factorization.

34251203430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42331 (or 42325 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34251203430 its reverse (3430215243), we get a palindrome (37681418673).

The spelling of 34251203430 in words is "thirty-four billion, two hundred fifty-one million, two hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 97 135 155 186 194 270 279 291 310 465 485 558 582 837 873 930 970 1395 1455 1674 1746 2619 2790 2910 3007 4185 4365 5238 6014 8370 8730 9021 13095 15035 18042 26190 27063 30070 42187 45105 54126 81189 84374 90210 126561 135315 162378 210935 253122 270630 379683 405945 421870 632805 759366 811890 1139049 1265610 1307797 1898415 2278098 2615594 3796830 3923391 4092139 5695245 6538985 7846782 8184278 11390490 11770173 12276417 13077970 19616955 20460695 23540346 24552834 35310519 36829251 39233910 40921390 58850865 61382085 70621038 73658502 110487753 117701730 122764170 126856309 176552595 184146255 220975506 253712618 353105190 368292510 380568927 552438765 634281545 761137854 1104877530 1141706781 1268563090 1902844635 2283413562 3425120343 3805689270 5708533905 6850240686 11417067810 17125601715 34251203430