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423201440 = 25519731907
BaseRepresentation
bin11001001110011…
…000101010100000
31002111022212020102
4121032120222200
51331314421230
6105554401532
713326103304
oct3116305240
91074285212
10423201440
111a7982562
12b98902a8
13698a5c6c
14402c3d04
1527248045
hex19398aa0

423201440 has 96 divisors (see below), whose sum is σ = 1067411520. Its totient is φ = 158091264.

The previous prime is 423201439. The next prime is 423201461. The reversal of 423201440 is 44102324.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 220967 + ... + 222873.

It is an arithmetic number, because the mean of its divisors is an integer number (11118870).

Almost surely, 2423201440 is an apocalyptic number.

423201440 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 423201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533705760).

423201440 is an abundant number, since it is smaller than the sum of its proper divisors (644210080).

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

423201440 is a wasteful number, since it uses less digits than its factorization.

423201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 423201440 is about 20571.8603922932. The cubic root of 423201440 is about 750.7852161458.

Adding to 423201440 its reverse (44102324), we get a palindrome (467303764).

The spelling of 423201440 in words is "four hundred twenty-three million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 73 76 80 95 146 152 160 190 292 304 365 380 584 608 730 760 1168 1387 1460 1520 1907 2336 2774 2920 3040 3814 5548 5840 6935 7628 9535 11096 11680 13870 15256 19070 22192 27740 30512 36233 38140 44384 55480 61024 72466 76280 110960 139211 144932 152560 181165 221920 278422 289864 305120 362330 556844 579728 696055 724660 1113688 1159456 1392110 1449320 2227376 2645009 2784220 2898640 4454752 5290018 5568440 5797280 10580036 11136880 13225045 21160072 22273760 26450090 42320144 52900180 84640288 105800360 211600720 423201440