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30404352 = 283115961
BaseRepresentation
bin111001111111…
…0111100000000
32010012200221010
41303332330000
530240414402
63003400520
7516301266
oct163767400
963180833
1030404352
1116187270
12a223140
1363b7054
144076436
152a08a6c
hex1cfef00

30404352 has 144 divisors (see below), whose sum is σ = 91244160. Its totient is φ = 8908800.

The previous prime is 30404327. The next prime is 30404357. The reversal of 30404352 is 25340403.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30404357) 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, 498402 + ... + 498462.

It is an arithmetic number, because the mean of its divisors is an integer number (633640).

Almost surely, 230404352 is an apocalyptic number.

30404352 is a gapful number since it is divisible by the number (32) 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 30404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45622080).

30404352 is an abundant number, since it is smaller than the sum of its proper divisors (60839808).

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

30404352 is a wasteful number, since it uses less digits than its factorization.

30404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 30404352 is about 5514.0141457925. The cubic root of 30404352 is about 312.1130425357.

Adding to 30404352 its reverse (25340403), we get a palindrome (55744755).

The spelling of 30404352 in words is "thirty million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 61 64 66 88 96 118 122 128 132 176 177 183 192 236 244 256 264 352 354 366 384 472 488 528 649 671 704 708 732 768 944 976 1056 1298 1342 1408 1416 1464 1888 1947 1952 2013 2112 2596 2684 2816 2832 2928 3599 3776 3894 3904 4026 4224 5192 5368 5664 5856 7198 7552 7788 7808 8052 8448 10384 10736 10797 11328 11712 14396 15104 15576 15616 16104 20768 21472 21594 22656 23424 28792 31152 32208 39589 41536 42944 43188 45312 46848 57584 62304 64416 79178 83072 85888 86376 115168 118767 124608 128832 158356 166144 171776 172752 230336 237534 249216 257664 316712 345504 460672 475068 498432 515328 633424 691008 921344 950136 1266848 1382016 1900272 2533696 2764032 3800544 5067392 7601088 10134784 15202176 30404352