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29304996 = 22374167127
BaseRepresentation
bin110111111001…
…0100010100100
32001010211220020
41233302202210
530000224441
62524035140
7504042210
oct157624244
961124806
1029304996
11155a6306
129992ab0
1360c0846
143c6b940
15288ce66
hex1bf28a4

29304996 has 96 divisors (see below), whose sum is σ = 81887232. Its totient is φ = 7983360.

The previous prime is 29304959. The next prime is 29304997. The reversal of 29304996 is 69940392.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29304997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230685 + ... + 230811.

It is an arithmetic number, because the mean of its divisors is an integer number (852992).

Almost surely, 229304996 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 29304996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40943616).

29304996 is an abundant number, since it is smaller than the sum of its proper divisors (52582236).

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

29304996 is a wasteful number, since it uses less digits than its factorization.

29304996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 29304996 is about 5413.4089075184. The cubic root of 29304996 is about 308.3049910804.

The spelling of 29304996 in words is "twenty-nine million, three hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 67 82 84 123 127 134 164 201 246 254 268 287 381 402 469 492 508 574 762 804 861 889 938 1148 1407 1524 1722 1778 1876 2667 2747 2814 3444 3556 5207 5334 5494 5628 8241 8509 10414 10668 10988 15621 16482 17018 19229 20828 25527 31242 32964 34036 36449 38458 51054 57687 59563 62484 72898 76916 102108 109347 115374 119126 145796 178689 218694 230748 238252 348869 357378 437388 697738 714756 1046607 1395476 2093214 2442083 4186428 4884166 7326249 9768332 14652498 29304996