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30441504 = 2533153193
BaseRepresentation
bin111010000100…
…0000000100000
32010021120220010
41310020000200
530243112004
63004244520
7516514512
oct164100040
963246803
1030441504
1116202175
12a240740
1363cac32
144085bb2
152a14a89
hex1d08020

30441504 has 96 divisors (see below), whose sum is σ = 84478464. Its totient is φ = 9584640.

The previous prime is 30441493. The next prime is 30441527. The reversal of 30441504 is 40514403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157632 + ... + 157824.

It is an arithmetic number, because the mean of its divisors is an integer number (879984).

Almost surely, 230441504 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 30441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42239232).

30441504 is an abundant number, since it is smaller than the sum of its proper divisors (54036960).

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

30441504 is a wasteful number, since it uses less digits than its factorization.

30441504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 30441504 is about 5517.3819878634. The cubic root of 30441504 is about 312.2401175889.

Adding to 30441504 its reverse (40514403), we get a palindrome (70955907).

The spelling of 30441504 in words is "thirty million, four hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 159 186 193 212 248 318 372 386 424 496 579 636 744 772 848 992 1158 1272 1488 1544 1643 1696 2316 2544 2976 3088 3286 4632 4929 5088 5983 6176 6572 9264 9858 10229 11966 13144 17949 18528 19716 20458 23932 26288 30687 35898 39432 40916 47864 52576 61374 71796 78864 81832 95728 122748 143592 157728 163664 191456 245496 287184 317099 327328 490992 574368 634198 951297 981984 1268396 1902594 2536792 3805188 5073584 7610376 10147168 15220752 30441504