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30442176 = 263379223
BaseRepresentation
bin111010000100…
…0001011000000
32010021121211000
41310020023000
530243122201
63004252000
7516516462
oct164101300
963247730
1030442176
1116202726
12a241000
1363cb32b
144086132
152a14d86
hex1d082c0

30442176 has 112 divisors (see below), whose sum is σ = 91033600. Its totient is φ = 9974016.

The previous prime is 30442129. The next prime is 30442177. The reversal of 30442176 is 67124403.

It is a super-2 number, since 2×304421762 = 1853452159229952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30442177) 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, 136401 + ... + 136623.

It is an arithmetic number, because the mean of its divisors is an integer number (812800).

Almost surely, 230442176 is an apocalyptic number.

30442176 is a gapful number since it is divisible by the number (36) 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 30442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45516800).

30442176 is an abundant number, since it is smaller than the sum of its proper divisors (60591424).

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

30442176 is a wasteful number, since it uses less digits than its factorization.

30442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30442176 is about 5517.4428859754. The cubic root of 30442176 is about 312.2424151518.

Adding to 30442176 its reverse (67124403), we get a palindrome (97566579).

The spelling of 30442176 in words is "thirty million, four hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 223 237 288 316 432 446 474 576 632 669 711 864 892 948 1264 1338 1422 1728 1784 1896 2007 2133 2528 2676 2844 3568 3792 4014 4266 5056 5352 5688 6021 7136 7584 8028 8532 10704 11376 12042 14272 15168 16056 17064 17617 21408 22752 24084 32112 34128 35234 42816 45504 48168 52851 64224 68256 70468 96336 105702 128448 136512 140936 158553 192672 211404 281872 317106 385344 422808 475659 563744 634212 845616 951318 1127488 1268424 1691232 1902636 2536848 3382464 3805272 5073696 7610544 10147392 15221088 30442176