Search a number
-
+
399012480 = 2734543179
BaseRepresentation
bin10111110010000…
…111001010000000
31000210210221020000
4113302013022000
51304121344410
6103332120000
712613356456
oct2762071200
91023727200
10399012480
11195260a89
12b1766000
1364886c79
143adc89d6
152506adc0
hex17c87280

399012480 has 320 divisors, whose sum is σ = 1466229600. Its totient is φ = 103348224.

The previous prime is 399012463. The next prime is 399012511. The reversal of 399012480 is 84210993.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2229031 + ... + 2229209.

Almost surely, 2399012480 is an apocalyptic number.

399012480 is a gapful number since it is divisible by the number (30) 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 399012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733114800).

399012480 is an abundant number, since it is smaller than the sum of its proper divisors (1067217120).

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

399012480 is a wasteful number, since it uses less digits than its factorization.

399012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 399012480 is about 19975.2967437282. The cubic root of 399012480 is about 736.1994575989.

The spelling of 399012480 in words is "three hundred ninety-nine million, twelve thousand, four hundred eighty".