Search a number
-
+
397299302400 = 214352711131719
BaseRepresentation
bin1011100100000001110…
…00100100000000000000
31101222111110201201100210
411302000320210000000
523002132110134100
6502303342514120
740463306231040
oct5620070440000
91358443651323
10397299302400
1114354810a310
1264bba895940
132b607c6c220
141532d62b720
15a504776c50
hex5c80e24000

397299302400 has 2880 divisors, whose sum is σ = 1965894174720. Its totient is φ = 67947724800.

The previous prime is 397299302299. The next prime is 397299302437. The reversal of 397299302400 is 4203992793.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 397299302400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20910489591 + ... + 20910489609.

It is an arithmetic number, because the mean of its divisors is an integer number (682602144).

Almost surely, 2397299302400 is an apocalyptic number.

397299302400 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 397299302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982947087360).

397299302400 is an abundant number, since it is smaller than the sum of its proper divisors (1568594872320).

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

397299302400 is a wasteful number, since it uses less digits than its factorization.

397299302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 397299302400 in words is "three hundred ninety-seven billion, two hundred ninety-nine million, three hundred two thousand, four hundred".