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434368924 = 221141472109
BaseRepresentation
bin11001111000111…
…111000110011100
31010021100020010221
4121320333012130
51342144301144
6111034011124
713523034463
oct3170770634
91107306127
10434368924
1120320a890
12101576aa4
136bcb6042
144198d9da
1528201d84
hex19e3f19c

434368924 has 72 divisors (see below), whose sum is σ = 875896560. Its totient is φ = 186796800.

The previous prime is 434368897. The next prime is 434368951. The reversal of 434368924 is 429863434.

It is an interprime number because it is at equal distance from previous prime (434368897) and next prime (434368951).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3984982 + ... + 3985090.

It is an arithmetic number, because the mean of its divisors is an integer number (12165230).

Almost surely, 2434368924 is an apocalyptic number.

434368924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434368924 is an abundant number, since it is smaller than the sum of its proper divisors (441527636).

434368924 is a wasteful number, since it uses less digits than its factorization.

434368924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 210 counting only the distinct ones).

The product of its digits is 497664, while the sum is 43.

The square root of 434368924 is about 20841.5192344512. The cubic root of 434368924 is about 757.3318976208.

The spelling of 434368924 in words is "four hundred thirty-four million, three hundred sixty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 4 11 22 41 44 47 82 94 109 164 188 218 436 451 517 902 1034 1199 1804 1927 2068 2209 2398 3854 4418 4469 4796 5123 7708 8836 8938 10246 17876 20492 21197 24299 42394 48598 49159 56353 84788 90569 97196 98318 112706 181138 196636 210043 225412 240781 362276 420086 481562 840172 963124 996259 1992518 2310473 2648591 3985036 4620946 5297182 9241892 9872021 10594364 19744042 39488084 108592231 217184462 434368924