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30423900 = 223521329269
BaseRepresentation
bin111010000001…
…1101101011100
32010020200202010
41310003231130
530242031100
63004031220
7516412263
oct164035534
963220663
1030423900
111619aa21
12a232510
1363c2c10
14407d5da
152a0e750
hex1d03b5c

30423900 has 144 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 7203840.

The previous prime is 30423889. The next prime is 30423901. The reversal of 30423900 is 932403.

30423900 is a nontrivial binomial coefficient, being equal to C(7801, 2).

It is a super-2 number, since 2×304239002 = 1851227382420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30423901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112966 + ... + 113234.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 230423900 is an apocalyptic number.

30423900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30423900 is the 7800-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30423900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

30423900 is an abundant number, since it is smaller than the sum of its proper divisors (68007300).

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

30423900 is a wasteful number, since it uses less digits than its factorization.

30423900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 30423900 is about 5515.7864353146. The cubic root of 30423900 is about 312.1799175965.

The spelling of 30423900 in words is "thirty million, four hundred twenty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 269 290 300 325 348 377 390 435 538 580 650 725 754 780 807 870 975 1076 1131 1300 1345 1450 1508 1614 1740 1885 1950 2175 2262 2690 2900 3228 3497 3770 3900 4035 4350 4524 5380 5655 6725 6994 7540 7801 8070 8700 9425 10491 11310 13450 13988 15602 16140 17485 18850 20175 20982 22620 23403 26900 28275 31204 34970 37700 39005 40350 41964 46806 52455 56550 69940 78010 80700 87425 93612 101413 104910 113100 117015 156020 174850 195025 202826 209820 234030 262275 304239 349700 390050 405652 468060 507065 524550 585075 608478 780100 1014130 1049100 1170150 1216956 1521195 2028260 2340300 2535325 3042390 5070650 6084780 7605975 10141300 15211950 30423900