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30442120 = 2353767307
BaseRepresentation
bin111010000100…
…0001010001000
32010021121201221
41310020022020
530243121440
63004251424
7516516352
oct164101210
963247657
1030442120
1116202685
12a240b74
1363cb2b7
1440860d2
152a14d4a
hex1d08288

30442120 has 64 divisors (see below), whose sum is σ = 71628480. Its totient is φ = 11632896.

The previous prime is 30442103. The next prime is 30442129. The reversal of 30442120 is 2124403.

It is a junction number, because it is equal to n+sod(n) for n = 30442094 and 30442103.

It is not an unprimeable number, because it can be changed into a prime (30442129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99007 + ... + 99313.

It is an arithmetic number, because the mean of its divisors is an integer number (1119195).

Almost surely, 230442120 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 30442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814240).

30442120 is an abundant number, since it is smaller than the sum of its proper divisors (41186360).

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

30442120 is a wasteful number, since it uses less digits than its factorization.

30442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 30442120 is about 5517.4378111584. The cubic root of 30442120 is about 312.2422236895.

Adding to 30442120 its reverse (2124403), we get a palindrome (32566523).

It can be divided in two parts, 304 and 42120, that added together give a palindrome (42424).

The spelling of 30442120 in words is "thirty million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 67 74 134 148 185 268 296 307 335 370 536 614 670 740 1228 1340 1480 1535 2456 2479 2680 3070 4958 6140 9916 11359 12280 12395 19832 20569 22718 24790 41138 45436 49580 56795 82276 90872 99160 102845 113590 164552 205690 227180 411380 454360 761053 822760 1522106 3044212 3805265 6088424 7610530 15221060 30442120