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234634506426 = 232311033407059
BaseRepresentation
bin1101101010000101001…
…1100111000010111010
3211102122002012220111200
43122201103213002322
512321012413201201
6255442315435030
722644314253255
oct3324123470272
9742562186450
10234634506426
1190565075531
1239582755a76
13191838c3768
14b4dbc4a09c
156183daa386
hex36a14e70ba

234634506426 has 48 divisors (see below), whose sum is σ = 525283249920. Its totient is φ = 75615094080.

The previous prime is 234634506401. The next prime is 234634506437. The reversal of 234634506426 is 624605436432.

234634506426 is a `hidden beast` number, since 2 + 3 + 4 + 634 + 5 + 0 + 6 + 4 + 2 + 6 = 666.

234634506426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372885 + ... + 779943.

It is an arithmetic number, because the mean of its divisors is an integer number (10943401040).

Almost surely, 2234634506426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234634506426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262641624960).

234634506426 is an abundant number, since it is smaller than the sum of its proper divisors (290648743494).

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

234634506426 is a wasteful number, since it uses less digits than its factorization.

234634506426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408131 (or 408128 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 234634506426 in words is "two hundred thirty-four billion, six hundred thirty-four million, five hundred six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1033 2066 3099 6198 9297 18594 32023 64046 96069 192138 288207 407059 576414 814118 1221177 2442354 3663531 7327062 12618829 25237658 37856487 75712974 113569461 227138922 420491947 840983894 1261475841 2522951682 3784427523 7568855046 13035250357 26070500714 39105751071 78211502142 117317253213 234634506426