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34031402430 = 235107163193337
BaseRepresentation
bin11111101100011011…
…011111110110111110
310020211201002100212020
4133230123133312332
51024144014334210
623344523021010
72313221101464
oct375433376676
9106751070766
1034031402430
1113483926383
12671906a766
13329465cc1c
14190ba14834
15d42a03770
hex7ec6dfdbe

34031402430 has 128 divisors (see below), whose sum is σ = 83621611008. Its totient is φ = 8862400512.

The previous prime is 34031402407. The next prime is 34031402443. The reversal of 34031402430 is 3420413043.

It is a self number, because there is not a number n which added to its sum of digits gives 34031402430.

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, 100983222 + ... + 100983558.

It is an arithmetic number, because the mean of its divisors is an integer number (653293836).

Almost surely, 234031402430 is an apocalyptic number.

34031402430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34031402430 is an abundant number, since it is smaller than the sum of its proper divisors (49590208578).

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

34031402430 is a wasteful number, since it uses less digits than its factorization.

34031402430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34031402430 its reverse (3420413043), we get a palindrome (37451815473).

The spelling of 34031402430 in words is "thirty-four billion, thirty-one million, four hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 107 163 193 214 321 326 337 386 489 535 579 642 674 815 965 978 1011 1070 1158 1605 1630 1685 1930 2022 2445 2895 3210 3370 4890 5055 5790 10110 17441 20651 31459 34882 36059 41302 52323 54931 61953 62918 65041 72118 87205 94377 103255 104646 108177 109862 123906 130082 157295 164793 174410 180295 188754 195123 206510 216354 261615 274655 309765 314590 325205 329586 360590 390246 471885 523230 540885 549310 619530 650410 823965 943770 975615 1081770 1647930 1951230 3366113 5877617 6732226 6959387 10098339 10601683 11755234 13918774 16830565 17632851 20196678 20878161 21203366 29388085 31805049 33661130 34796935 35265702 41756322 50491695 53008415 58776170 63610098 69593870 88164255 100983390 104390805 106016830 159025245 176328510 208781610 318050490 1134380081 2268760162 3403140243 5671900405 6806280486 11343800810 17015701215 34031402430