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423414912 = 27323191251
BaseRepresentation
bin11001001111001…
…100110010000000
31002111201201001210
4121033030302000
51331343234122
6110003130120
713330652544
oct3117146200
91074651053
10423414912
111a8008988
12b9973940
136994c18b
144033ba24
152728b40c
hex193ccc80

423414912 has 128 divisors (see below), whose sum is σ = 1184440320. Its totient is φ = 133760000.

The previous prime is 423414907. The next prime is 423414923. The reversal of 423414912 is 219414324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 423414912.

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, 1686787 + ... + 1687037.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2423414912 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 423414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

423414912 is an abundant number, since it is smaller than the sum of its proper divisors (761025408).

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

423414912 is a wasteful number, since it uses less digits than its factorization.

423414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 423414912 is about 20577.0481848102. The cubic root of 423414912 is about 750.9114323838.

The spelling of 423414912 in words is "four hundred twenty-three million, four hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 191 192 251 276 368 382 384 502 552 573 736 753 764 1004 1104 1146 1472 1506 1528 2008 2208 2292 2944 3012 3056 4016 4393 4416 4584 5773 6024 6112 8032 8786 8832 9168 11546 12048 12224 13179 16064 17319 17572 18336 23092 24096 24448 26358 32128 34638 35144 36672 46184 47941 48192 52716 69276 70288 73344 92368 95882 96384 105432 138552 140576 143823 184736 191764 210864 277104 281152 287646 369472 383528 421728 554208 562304 575292 738944 767056 843456 1102643 1108416 1150584 1534112 1686912 2205286 2216832 2301168 3068224 3307929 4410572 4602336 6136448 6615858 8821144 9204672 13231716 17642288 18409344 26463432 35284576 52926864 70569152 105853728 141138304 211707456 423414912