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234134012430 = 23351376329657
BaseRepresentation
bin1101101000001101111…
…0011000001000001110
3211101100012110011211000
43122003132120020032
512314001301344210
6255320520241130
722626026161143
oct3320336301016
9741305404730
10234134012430
1190328600a2a
12394630101a6
1319103cc7876
14b4915a63ca
156154e95ac0
hex368379820e

234134012430 has 64 divisors (see below), whose sum is σ = 628914818880. Its totient is φ = 61979991552.

The previous prime is 234134012423. The next prime is 234134012477. The reversal of 234134012430 is 34210431432.

234134012430 is a `hidden beast` number, since 2 + 3 + 4 + 13 + 401 + 243 + 0 = 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 = 234134012394 and 234134012403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3127839 + ... + 3201818.

It is an arithmetic number, because the mean of its divisors is an integer number (9826794045).

Almost surely, 2234134012430 is an apocalyptic number.

234134012430 is an abundant number, since it is smaller than the sum of its proper divisors (394780806450).

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

234134012430 is a wasteful number, since it uses less digits than its factorization.

234134012430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329810 (or 6329804 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234134012430 its reverse (34210431432), we get a palindrome (268344443862).

The spelling of 234134012430 in words is "two hundred thirty-four billion, one hundred thirty-four million, twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 270 274 411 685 822 1233 1370 2055 2466 3699 4110 6165 7398 12330 18495 36990 6329657 12659314 18988971 31648285 37977942 56966913 63296570 94944855 113933826 170900739 189889710 284834565 341801478 569669130 854503695 867163009 1709007390 1734326018 2601489027 4335815045 5202978054 7804467081 8671630090 13007445135 15608934162 23413401243 26014890270 39022335405 46826802486 78044670810 117067006215 234134012430