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34026026430 = 23511225736473
BaseRepresentation
bin11111101100000110…
…111111010110111110
310020211022222020101010
4133230012333112332
51024141130321210
623344211500050
72313124311144
oct375406772676
9106738866333
1034026026430
1113480894300
1267172b7626
1332934c9c66
14190b015594
15d422e0920
hex7ec1bf5be

34026026430 has 96 divisors (see below), whose sum is σ = 90112956192. Its totient is φ = 8216412160.

The previous prime is 34026026393. The next prime is 34026026449. The reversal of 34026026430 is 3462062043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 914674 + ... + 951146.

It is an arithmetic number, because the mean of its divisors is an integer number (938676627).

Almost surely, 234026026430 is an apocalyptic number.

34026026430 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 34026026430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45056478096).

34026026430 is an abundant number, since it is smaller than the sum of its proper divisors (56086929762).

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

34026026430 is a wasteful number, since it uses less digits than its factorization.

34026026430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36762 (or 36751 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34026026430 its reverse (3462062043), we get a palindrome (37488088473).

The spelling of 34026026430 in words is "thirty-four billion, twenty-six million, twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 257 330 363 514 605 726 771 1210 1285 1542 1815 2570 2827 3630 3855 5654 7710 8481 14135 16962 28270 31097 36473 42405 62194 72946 84810 93291 109419 155485 182365 186582 218838 310970 364730 401203 466455 547095 802406 932910 1094190 1203609 2006015 2407218 4012030 4413233 6018045 8826466 9373561 12036090 13239699 18747122 22066165 26479398 28120683 44132330 46867805 56241366 66198495 93735610 103109171 132396990 140603415 206218342 281206830 309327513 515545855 618655026 1031091710 1134200881 1546637565 2268401762 3093275130 3402602643 5671004405 6805205286 11342008810 17013013215 34026026430