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423730368 = 26322925367
BaseRepresentation
bin11001010000011…
…001110011000000
31002112022201210100
4121100121303000
51331433332433
6110014002400
713333435335
oct3120316300
91075281710
10423730368
111a8203996
12b9aa6400
1369a2c939
14403c098c
15272eeb13
hex19419cc0

423730368 has 84 divisors (see below), whose sum is σ = 1256477040. Its totient is φ = 136367616.

The previous prime is 423730313. The next prime is 423730393. The reversal of 423730368 is 863037324.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4021 + ... + 29387.

It is an arithmetic number, because the mean of its divisors is an integer number (14958060).

Almost surely, 2423730368 is an apocalyptic number.

423730368 is a gapful number since it is divisible by the number (48) 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 423730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628238520).

423730368 is an abundant number, since it is smaller than the sum of its proper divisors (832746672).

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

423730368 is a wasteful number, since it uses less digits than its factorization.

423730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25414 (or 25401 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 423730368 is about 20584.7119970137. The cubic root of 423730368 is about 751.0978694594.

The spelling of 423730368 in words is "four hundred twenty-three million, seven hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 25367 50734 76101 101468 152202 202936 228303 304404 405872 456606 608808 735643 811744 913212 1217616 1471286 1623488 1826424 2206929 2435232 2942572 3652848 4413858 4870464 5885144 6620787 7305696 8827716 11770288 13241574 14611392 17655432 23540576 26483148 35310864 47081152 52966296 70621728 105932592 141243456 211865184 423730368