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36430230342 = 231117110329437
BaseRepresentation
bin100001111011011010…
…010011001101000110
310111000212220110010110
4201323122103031012
51044102114332332
624422534133450
72426526564042
oct417332231506
9114025813113
1036430230342
11144a4a08290
1270884b1286
13358762821c
141a9844b022
15e333e74cc
hex87b693346

36430230342 has 64 divisors (see below), whose sum is σ = 84238838784. Its totient is φ = 10380311040.

The previous prime is 36430230313. The next prime is 36430230349. The reversal of 36430230342 is 24303203463.

36430230342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36430230349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222848 + ... + 1252284.

It is an arithmetic number, because the mean of its divisors is an integer number (1316231856).

Almost surely, 236430230342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36430230342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42119419392).

36430230342 is an abundant number, since it is smaller than the sum of its proper divisors (47808608442).

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

36430230342 is a wasteful number, since it uses less digits than its factorization.

36430230342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30573.

The product of its (nonzero) digits is 31104, while the sum is 30.

The spelling of 36430230342 in words is "thirty-six billion, four hundred thirty million, two hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1103 1122 2206 3309 6618 12133 18751 24266 29437 36399 37502 56253 58874 72798 88311 112506 176622 206261 323807 412522 500429 618783 647614 971421 1000858 1237566 1501287 1942842 3002574 5504719 11009438 16514157 32469011 33028314 64938022 97407033 194814066 357159121 551973187 714318242 1071477363 1103946374 1655919561 2142954726 3311839122 6071705057 12143410114 18215115171 36430230342