Search a number
-
+
30414420 = 22335151373
BaseRepresentation
bin111010000000…
…1011001010100
32010020012202000
41310001121110
530241230140
63003515300
7516342531
oct164013124
963205660
1030414420
1116193893
12a228b30
1363bb7ca
144079d88
152a0ba30
hex1d01654

30414420 has 96 divisors (see below), whose sum is σ = 95504640. Its totient is φ = 8035200.

The previous prime is 30414409. The next prime is 30414443. The reversal of 30414420 is 2441403.

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 = 30414393 and 30414402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81354 + ... + 81726.

It is an arithmetic number, because the mean of its divisors is an integer number (994840).

Almost surely, 230414420 is an apocalyptic number.

30414420 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 30414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47752320).

30414420 is an abundant number, since it is smaller than the sum of its proper divisors (65090220).

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

30414420 is a wasteful number, since it uses less digits than its factorization.

30414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 30414420 is about 5514.9270167428. The cubic root of 30414420 is about 312.1474894390.

Adding to 30414420 its reverse (2441403), we get a palindrome (32855823).

The spelling of 30414420 in words is "thirty million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 151 180 270 302 373 453 540 604 746 755 906 1119 1359 1492 1510 1812 1865 2238 2265 2718 3020 3357 3730 4077 4476 4530 5436 5595 6714 6795 7460 8154 9060 10071 11190 13428 13590 16308 16785 20142 20385 22380 27180 33570 40284 40770 50355 56323 67140 81540 100710 112646 168969 201420 225292 281615 337938 506907 563230 675876 844845 1013814 1126460 1520721 1689690 2027628 2534535 3041442 3379380 5069070 6082884 7603605 10138140 15207210 30414420