Search a number
-
+
234646545804 = 2231110745736353
BaseRepresentation
bin1101101010001000000…
…1100010010110001100
3211102122220212120102120
43122202001202112030
512321024003431204
6255443425452540
722644521505426
oct3324201422614
9742586776376
10234646545804
1190570948930
12395867a1150
131918624a658
14b4dd6a1816
156184e876d9
hex36a206258c

234646545804 has 96 divisors (see below), whose sum is σ = 604199990016. Its totient is φ = 70284410880.

The previous prime is 234646545799. The next prime is 234646545823. The reversal of 234646545804 is 408545646432.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6436492 + ... + 6472844.

It is an arithmetic number, because the mean of its divisors is an integer number (6293749896).

Almost surely, 2234646545804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234646545804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302099995008).

234646545804 is an abundant number, since it is smaller than the sum of its proper divisors (369553444212).

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

234646545804 is a wasteful number, since it uses less digits than its factorization.

234646545804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36935 (or 36933 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 51.

The spelling of 234646545804 in words is "two hundred thirty-four billion, six hundred forty-six million, five hundred forty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 457 642 914 1177 1284 1371 1828 2354 2742 3531 4708 5027 5484 7062 10054 14124 15081 20108 30162 36353 48899 60324 72706 97798 109059 145412 146697 195596 218118 293394 399883 436236 537889 586788 799766 1075778 1199649 1599532 1613667 2151556 2399298 3227334 3889771 4798596 6454668 7779542 11669313 15559084 16613321 23338626 33226642 42787481 46677252 49839963 66453284 85574962 99679926 128362443 171149924 182746531 199359852 256724886 365493062 513449772 548239593 730986124 1096479186 1777625347 2192958372 3555250694 5332876041 7110501388 10665752082 19553878817 21331504164 39107757634 58661636451 78215515268 117323272902 234646545804