Search a number
-
+
4342300020 = 2232537651997
BaseRepresentation
bin1000000101101001…
…00011110101110100
3102012121210200210200
410002310203311310
532343112100040
61554514320500
7212414640552
oct40264436564
912177720720
104342300020
11192912a303
12a12289130
1354280cbc6
142d29b8bd2
151a633c630
hex102d23d74

4342300020 has 72 divisors (see below), whose sum is σ = 13527654504. Its totient is φ = 1126649088.

The previous prime is 4342300009. The next prime is 4342300043. The reversal of 4342300020 is 200032434.

4342300020 is a `hidden beast` number, since 4 + 342 + 300 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1183635216 + 3158664804 = 34404^2 + 56202^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4342299966 and 4342300002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319339 + ... + 332658.

Almost surely, 24342300020 is an apocalyptic number.

It is an amenable number.

4342300020 is an abundant number, since it is smaller than the sum of its proper divisors (9185354484).

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

4342300020 is a wasteful number, since it uses less digits than its factorization.

4342300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652049 (or 652044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4342300020 is about 65896.1305389019. The cubic root of 4342300020 is about 1631.4481490922.

Adding to 4342300020 its reverse (200032434), we get a palindrome (4542332454).

The spelling of 4342300020 in words is "four billion, three hundred forty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 651997 1303994 1955991 2607988 3259985 3911982 5867973 6519970 7823964 9779955 11735946 13039940 19559910 23471892 24123889 29339865 39119820 48247778 58679730 72371667 96495556 117359460 120619445 144743334 217115001 241238890 289486668 361858335 434230002 482477780 723716670 868460004 1085575005 1447433340 2171150010 4342300020