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423198400 = 26521913921
BaseRepresentation
bin11001001110010…
…111111011000000
31002111022201001211
4121032113323000
51331314322100
6105554335504
713326061402
oct3116277300
91074281054
10423198400
111a7980249
12b988a594
13698a4771
14402c2b72
15272471ba
hex19397ec0

423198400 has 84 divisors (see below), whose sum is σ = 1096218280. Its totient is φ = 160358400.

The previous prime is 423198397. The next prime is 423198437. The reversal of 423198400 is 4891324.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23440 + ... + 37360.

Almost surely, 2423198400 is an apocalyptic number.

423198400 is a gapful number since it is divisible by the number (40) 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 423198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548109140).

423198400 is an abundant number, since it is smaller than the sum of its proper divisors (673019880).

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

423198400 is a wasteful number, since it uses less digits than its factorization.

423198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 423198400 is about 20571.7865048226. The cubic root of 423198400 is about 750.7834184262.

The spelling of 423198400 in words is "four hundred twenty-three million, one hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 13921 15200 27842 30400 55684 69605 111368 139210 222736 264499 278420 348025 445472 528998 556840 696050 890944 1057996 1113680 1322495 1392100 2115992 2227360 2644990 2784200 4231984 4454720 5289980 5568400 6612475 8463968 10579960 11136800 13224950 16927936 21159920 22273600 26449900 42319840 52899800 84639680 105799600 211599200 423198400