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30103320 = 23351323839
BaseRepresentation
bin111001011010…
…1011100011000
32002122101222210
41302311130120
530201301240
62553115120
7513605532
oct162653430
962571883
1030103320
1115aa1085
12a0b8aa0
136310020
143dd8852
152999780
hex1cb5718

30103320 has 128 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 7079424.

The previous prime is 30103289. The next prime is 30103349. The reversal of 30103320 is 2330103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30103296 and 30103305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35461 + ... + 36299.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 230103320 is an apocalyptic number.

30103320 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 30103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

30103320 is an abundant number, since it is smaller than the sum of its proper divisors (71503080).

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

30103320 is a wasteful number, since it uses less digits than its factorization.

30103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 30103320 is about 5486.6492506811. The cubic root of 30103320 is about 311.0795521654.

Adding to 30103320 its reverse (2330103), we get a palindrome (32433423).

The spelling of 30103320 in words is "thirty million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 839 897 920 1196 1380 1495 1560 1678 1794 2392 2517 2760 2990 3356 3588 4195 4485 5034 5980 6712 7176 8390 8970 10068 10907 11960 12585 16780 17940 19297 20136 21814 25170 32721 33560 35880 38594 43628 50340 54535 57891 65442 77188 87256 96485 100680 109070 115782 130884 154376 163605 192970 218140 231564 250861 261768 289455 327210 385940 436280 463128 501722 578910 654420 752583 771880 1003444 1157820 1254305 1308840 1505166 2006888 2315640 2508610 3010332 3762915 5017220 6020664 7525830 10034440 15051660 30103320