Search a number
-
+
34032012011430 = 2357928151101419
BaseRepresentation
bin1111011110011101100011…
…11111001010011110100110
311110111102120102122010121020
413233032301333022132212
513430040030033331210
6200214031313432010
710111505661120606
oct757166177123646
9143442512563536
1034032012011430
11a930993627714
12399776bb6b606
1315cb2883c1384
14859230038c06
153e03b6344770
hex1ef3b1fca7a6

34032012011430 has 64 divisors (see below), whose sum is σ = 83005058534400. Its totient is φ = 8928439752960.

The previous prime is 34032012011419. The next prime is 34032012011441. The reversal of 34032012011430 is 3411021023043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34032012011419) and next prime (34032012011441).

It is a super-2 number, since 2×340320120114302 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34032012011430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24884740 + ... + 26216679.

It is an arithmetic number, because the mean of its divisors is an integer number (1296954039600).

Almost surely, 234032012011430 is an apocalyptic number.

34032012011430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34032012011430 is an abundant number, since it is smaller than the sum of its proper divisors (48973046522970).

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

34032012011430 is a wasteful number, since it uses less digits than its factorization.

34032012011430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51101789.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34032012011430 its reverse (3411021023043), we get a palindrome (37443033034473).

The spelling of 34032012011430 in words is "thirty-four trillion, thirty-two billion, twelve million, eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 79 158 237 281 395 474 562 790 843 1185 1405 1686 2370 2810 4215 8430 22199 44398 66597 110995 133194 221990 332985 665970 51101419 102202838 153304257 255507095 306608514 511014190 766521285 1533042570 4037012101 8074024202 12111036303 14359498739 20185060505 24222072606 28718997478 40370121010 43078496217 60555181515 71797493695 86156992434 121110363030 143594987390 215392481085 430784962170 1134400400381 2268800800762 3403201201143 5672002001905 6806402402286 11344004003810 17016006005715 34032012011430