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400231323 = 3217103109233
BaseRepresentation
bin10111110110110…
…000101110011011
31000220002212011100
4113312300232123
51304424400243
6103414202443
712626624112
oct2766605633
91026085140
10400231323
11195a13798
12b2053423
1364bc298b
143b224c79
152520c0d3
hex17db0b9b

400231323 has 48 divisors (see below), whose sum is σ = 626408640. Its totient is φ = 245348352.

The previous prime is 400231319. The next prime is 400231327. The reversal of 400231323 is 323132004.

400231323 is a `hidden beast` number, since 400 + 231 + 32 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (400231319) and next prime (400231327).

It is not a de Polignac number, because 400231323 - 22 = 400231319 is a prime.

It is a super-3 number, since 3×4002313233 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 400231296 and 400231305.

It is not an unprimeable number, because it can be changed into a prime (400231327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1717615 + ... + 1717847.

It is an arithmetic number, because the mean of its divisors is an integer number (13050180).

Almost surely, 2400231323 is an apocalyptic number.

400231323 is a deficient number, since it is larger than the sum of its proper divisors (226177317).

400231323 is a wasteful number, since it uses less digits than its factorization.

400231323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 400231323 is about 20005.7822391428. The cubic root of 400231323 is about 736.9483058936.

Adding to 400231323 its reverse (323132004), we get a palindrome (723363327).

The spelling of 400231323 in words is "four hundred million, two hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 17 51 103 109 153 233 309 327 699 927 981 1751 1853 2097 3961 5253 5559 11227 11883 15759 16677 23999 25397 33681 35649 71997 76191 101043 190859 215991 228573 407983 431749 572577 1223949 1295247 1717731 2615891 3671847 3885741 7847673 23543019 44470147 133410441 400231323