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400701379 = 13371495591
BaseRepresentation
bin10111111000100…
…011011111000011
31000220222201221211
4113320203133003
51310034421004
6103432230551
712633622411
oct2770433703
91026881854
10400701379
11196204971
12b223b457
1365028910
143b3082b1
15252a1504
hex17e237c3

400701379 has 16 divisors (see below), whose sum is σ = 446241600. Its totient is φ = 357402240.

The previous prime is 400701361. The next prime is 400701401. The reversal of 400701379 is 973107004.

It is not a de Polignac number, because 400701379 - 25 = 400701347 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400701379.

It is not an unprimeable number, because it can be changed into a prime (400701479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68874 + ... + 74464.

It is an arithmetic number, because the mean of its divisors is an integer number (27890100).

Almost surely, 2400701379 is an apocalyptic number.

400701379 is a deficient number, since it is larger than the sum of its proper divisors (45540221).

400701379 is a wasteful number, since it uses less digits than its factorization.

400701379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 400701379 is about 20017.5267952862. The cubic root of 400701379 is about 737.2366986535.

Subtracting 400701379 from its reverse (973107004), we obtain a square (572405625 = 239252).

The spelling of 400701379 in words is "four hundred million, seven hundred one thousand, three hundred seventy-nine".

Divisors: 1 13 37 149 481 1937 5513 5591 71669 72683 206867 833059 2689271 10829767 30823183 400701379