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2342600028 = 223444916103
BaseRepresentation
bin1000101110100001…
…0011110101011100
320001021000102010000
42023220103311130
514244201200103
61024242014300
7112023525456
oct21350236534
96037012100
102342600028
11aa237808a
12554647390
132b443c282
1418319b2d6
15da9d8aa3
hex8ba13d5c

2342600028 has 60 divisors (see below), whose sum is σ = 6138039600. Its totient is φ = 779079168.

The previous prime is 2342600023. The next prime is 2342600047. The reversal of 2342600028 is 8200062432.

2342600028 is a `hidden beast` number, since 2 + 34 + 2 + 600 + 0 + 28 = 666.

2342600028 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2342599974 and 2342600010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342600021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137425 + ... + 153527.

It is an arithmetic number, because the mean of its divisors is an integer number (102300660).

Almost surely, 22342600028 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 2342600028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069019800).

2342600028 is an abundant number, since it is smaller than the sum of its proper divisors (3795439572).

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

2342600028 is a wasteful number, since it uses less digits than its factorization.

2342600028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16568 (or 16557 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2342600028 is about 48400.4135106303. The cubic root of 2342600028 is about 1328.1059265860.

The spelling of 2342600028 in words is "two billion, three hundred forty-two million, six hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 449 898 1347 1796 2694 4041 5388 8082 12123 16103 16164 24246 32206 36369 48309 48492 64412 72738 96618 144927 145476 193236 289854 434781 579708 869562 1304343 1739124 2608686 5217372 7230247 14460494 21690741 28920988 43381482 65072223 86762964 130144446 195216669 260288892 390433338 585650007 780866676 1171300014 2342600028