Search a number
-
+
400002334308 = 2232471619146021
BaseRepresentation
bin1011101001000011111…
…11110011111001100100
31102020110211221222001200
411310201333303321210
523023201044144213
6503431502122500
740620300512403
oct5644177637144
91366424858050
10400002334308
11144704987185
1265633b80430
132b948c779a5
141550860d63a
15a611c0a273
hex5d21ff3e64

400002334308 has 72 divisors (see below), whose sum is σ = 1033275035520. Its totient is φ = 130415718720.

The previous prime is 400002334267. The next prime is 400002334373. The reversal of 400002334308 is 803433200004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2666338 + ... + 2812358.

It is an arithmetic number, because the mean of its divisors is an integer number (14351042160).

Almost surely, 2400002334308 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 400002334308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516637517760).

400002334308 is an abundant number, since it is smaller than the sum of its proper divisors (633272701212).

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

400002334308 is a wasteful number, since it uses less digits than its factorization.

400002334308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147697 (or 147692 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 400002334308 in words is "four hundred billion, two million, three hundred thirty-four thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1619 1692 3238 4857 6476 9714 14571 19428 29142 58284 76093 146021 152186 228279 292042 304372 438063 456558 584084 684837 876126 913116 1314189 1369674 1752252 2628378 2739348 5256756 6862987 13725974 20588961 27451948 41177922 61766883 82355844 123533766 236407999 247067532 472815998 709223997 945631996 1418447994 2127671991 2836895988 4255343982 8510687964 11111175953 22222351906 33333527859 44444703812 66667055718 100000583577 133334111436 200001167154 400002334308