Search a number
-
+
332340450000 = 24355131311301
BaseRepresentation
bin1001101011000010000…
…10001101001011010000
31011202211101012002221120
410311201002031023100
520421113123400000
6412401453122240
733003464133516
oct4654102151320
91152741162846
10332340450000
11118a4357a029
12544b0189380
132545505c460
141212a3484b6
1589a19e96a0
hex4d6108d2d0

332340450000 has 480 divisors, whose sum is σ = 1165378161024. Its totient is φ = 81120000000.

The previous prime is 332340449983. The next prime is 332340450007. The reversal of 332340450000 is 54043233.

It is a super-2 number, since 2×3323404500002 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332340450007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255449350 + ... + 255450650.

Almost surely, 2332340450000 is an apocalyptic number.

332340450000 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 332340450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582689080512).

332340450000 is an abundant number, since it is smaller than the sum of its proper divisors (833037711024).

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

332340450000 is a wasteful number, since it uses less digits than its factorization.

332340450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 332340450000 its reverse (54043233), we get a palindrome (332394493233).

The spelling of 332340450000 in words is "three hundred thirty-two billion, three hundred forty million, four hundred fifty thousand".