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402323020 = 2251117971109
BaseRepresentation
bin10111111110101…
…111011001001100
31001001001010102121
4113332233121030
51310443314040
6103531102324
712653455261
oct2776573114
91031033377
10402323020
11197112270
12b28a19a4
1365475a78
143b60b268
15254c1c4a
hex17faf64c

402323020 has 96 divisors (see below), whose sum is σ = 986852160. Its totient is φ = 136151040.

The previous prime is 402323017. The next prime is 402323029. The reversal of 402323020 is 20323204.

It is a junction number, because it is equal to n+sod(n) for n = 402322985 and 402323003.

It is not an unprimeable number, because it can be changed into a prime (402323029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362226 + ... + 363334.

It is an arithmetic number, because the mean of its divisors is an integer number (10279710).

Almost surely, 2402323020 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 402323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493426080).

402323020 is an abundant number, since it is smaller than the sum of its proper divisors (584529140).

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

402323020 is a wasteful number, since it uses less digits than its factorization.

402323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 402323020 is about 20057.9914248661. The cubic root of 402323020 is about 738.2298938850.

Adding to 402323020 its reverse (20323204), we get a palindrome (422646224).

The spelling of 402323020 in words is "four hundred two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 97 110 170 187 194 220 340 374 388 485 748 935 970 1067 1109 1649 1870 1940 2134 2218 3298 3740 4268 4436 5335 5545 6596 8245 10670 11090 12199 16490 18139 18853 21340 22180 24398 32980 36278 37706 48796 60995 72556 75412 90695 94265 107573 121990 181390 188530 207383 215146 243980 362780 377060 414766 430292 537865 829532 1036915 1075730 1183303 1828741 2073830 2151460 2366606 3657482 4147660 4733212 5916515 7314964 9143705 11833030 18287410 20116151 23666060 36574820 40232302 80464604 100580755 201161510 402323020