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30424100 = 225273887
BaseRepresentation
bin111010000001…
…1110000100100
32010020201000112
41310003300210
530242032400
63004032152
7516413000
oct164036044
963221015
1030424100
11161a0093
12a232658
1363c3035
14407d700
152a0e835
hex1d03c24

30424100 has 72 divisors (see below), whose sum is σ = 77078400. Its totient is φ = 10419360.

The previous prime is 30424099. The next prime is 30424127. The reversal of 30424100 is 142403.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 33857 + ... + 34743.

Almost surely, 230424100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38539200).

30424100 is an abundant number, since it is smaller than the sum of its proper divisors (46654300).

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

30424100 is a wasteful number, since it uses less digits than its factorization.

30424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 30424100 is about 5515.8045650657. The cubic root of 30424100 is about 312.1806016623.

Adding to 30424100 its reverse (142403), we get a palindrome (30566503).

The spelling of 30424100 in words is "thirty million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 887 980 1225 1372 1715 1774 2450 3430 3548 4435 4900 6209 6860 8575 8870 12418 17150 17740 22175 24836 31045 34300 43463 44350 62090 86926 88700 124180 155225 173852 217315 304241 310450 434630 608482 620900 869260 1086575 1216964 1521205 2173150 3042410 4346300 6084820 7606025 15212050 30424100