Search a number
-
+
30346200 = 23325223733
BaseRepresentation
bin111001111000…
…0101111011000
32010002202011100
41303300233120
530232034300
63002231400
7515636613
oct163605730
963082140
1030346200
1116147605
12a1b5560
136396741
14405d17a
1529e6700
hex1cf0bd8

30346200 has 144 divisors (see below), whose sum is σ = 106488720. Its totient is φ = 7729920.

The previous prime is 30346189. The next prime is 30346213. The reversal of 30346200 is 264303.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41034 + ... + 41766.

It is an arithmetic number, because the mean of its divisors is an integer number (739505).

Almost surely, 230346200 is an apocalyptic number.

30346200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30346200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53244360).

30346200 is an abundant number, since it is smaller than the sum of its proper divisors (76142520).

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

30346200 is a wasteful number, since it uses less digits than its factorization.

30346200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30346200 is about 5508.7385125816. The cubic root of 30346200 is about 311.9139308941.

The spelling of 30346200 in words is "thirty million, three hundred forty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 733 828 900 920 1035 1150 1380 1466 1656 1725 1800 2070 2199 2300 2760 2932 3450 3665 4140 4398 4600 5175 5864 6597 6900 7330 8280 8796 10350 10995 13194 13800 14660 16859 17592 18325 20700 21990 26388 29320 32985 33718 36650 41400 43980 50577 52776 54975 65970 67436 73300 84295 87960 101154 109950 131940 134872 146600 151731 164925 168590 202308 219900 252885 263880 303462 329850 337180 404616 421475 439800 505770 606924 659700 674360 758655 842950 1011540 1213848 1264425 1319400 1517310 1685900 2023080 2528850 3034620 3371800 3793275 5057700 6069240 7586550 10115400 15173100 30346200