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421314432 = 27371114249
BaseRepresentation
bin11001000111001…
…011111110000000
31002100202222202020
4121013023332000
51330324030212
6105450121440
713304053650
oct3107137600
91070688666
10421314432
111a6903850
12b9120280
13693950a6
143dd52360
1526ec3d8c
hex191cbf80

421314432 has 128 divisors (see below), whose sum is σ = 1395360000. Its totient is φ = 109424640.

The previous prime is 421314419. The next prime is 421314469. The reversal of 421314432 is 234413124.

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

It is a super-2 number, since 2×4213144322 = 355011701222965248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 22444 + ... + 36692.

It is an arithmetic number, because the mean of its divisors is an integer number (10901250).

Almost surely, 2421314432 is an apocalyptic number.

421314432 is a gapful number since it is divisible by the number (42) 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 421314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).

421314432 is an abundant number, since it is smaller than the sum of its proper divisors (974045568).

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

421314432 is a wasteful number, since it uses less digits than its factorization.

421314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14284 (or 14272 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 421314432 is about 20525.9453375478. The cubic root of 421314432 is about 749.6676643146.

Adding to 421314432 its reverse (234413124), we get a palindrome (655727556).

The spelling of 421314432 in words is "four hundred twenty-one million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14249 14784 28498 29568 42747 56996 85494 99743 113992 156739 170988 199486 227984 299229 313478 341976 398972 455968 470217 598458 626956 683952 797944 911936 940434 1097173 1196916 1253912 1367904 1595888 1823872 1880868 2194346 2393832 2507824 2735808 3191776 3291519 3761736 4388692 4787664 5015648 5471616 6383552 6583038 7523472 8777384 9575328 10031296 12767104 13166076 15046944 17554768 19150656 20062592 26332152 30093888 35109536 38301312 52664304 60187776 70219072 105328608 140438144 210657216 421314432