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29990304 = 2533103337
BaseRepresentation
bin111001001100…
…1110110100000
32002102122222000
41302121312200
530134142204
62550444000
7512625201
oct162316640
962378860
1029990304
1115a24183
12a063600
1362a0756
143da95a8
152976039
hex1c99da0

29990304 has 96 divisors (see below), whose sum is σ = 88583040. Its totient is φ = 9870336.

The previous prime is 29990293. The next prime is 29990327. The reversal of 29990304 is 40309992.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 88824 + ... + 89160.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 229990304 is an apocalyptic number.

29990304 is a gapful number since it is divisible by the number (24) 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 29990304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291520).

29990304 is an abundant number, since it is smaller than the sum of its proper divisors (58592736).

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

29990304 is a wasteful number, since it uses less digits than its factorization.

29990304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 29990304 is about 5476.3403838695. The cubic root of 29990304 is about 310.6897717368.

The spelling of 29990304 in words is "twenty-nine million, nine hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 103 108 144 206 216 288 309 337 412 432 618 674 824 864 927 1011 1236 1348 1648 1854 2022 2472 2696 2781 3033 3296 3708 4044 4944 5392 5562 6066 7416 8088 9099 9888 10784 11124 12132 14832 16176 18198 22248 24264 29664 32352 34711 36396 44496 48528 69422 72792 88992 97056 104133 138844 145584 208266 277688 291168 312399 416532 555376 624798 833064 937197 1110752 1249596 1666128 1874394 2499192 3332256 3748788 4998384 7497576 9996768 14995152 29990304