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2334033240 = 23357114161101
BaseRepresentation
bin1000101100011110…
…1000010101011000
320000122220011200120
42023013220111120
514240003030430
61023334233240
7111560645430
oct21307502530
96018804616
102334033240
11a985567a0
125517b5820
132b272cb76
14181dab2c0
15d9d95610
hex8b1e8558

2334033240 has 512 divisors, whose sum is σ = 9179412480. Its totient is φ = 460800000.

The previous prime is 2334033217. The next prime is 2334033257. The reversal of 2334033240 is 423304332.

It is a super-2 number, since 2×23340332402 = 10895422330849795200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2334033240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23109190 + ... + 23109290.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540).

Almost surely, 22334033240 is an apocalyptic number.

2334033240 is a gapful number since it is divisible by the number (20) 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 2334033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589706240).

2334033240 is an abundant number, since it is smaller than the sum of its proper divisors (6845379240).

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

2334033240 is a wasteful number, since it uses less digits than its factorization.

2334033240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2334033240 is about 48311.8333330458. The cubic root of 2334033240 is about 1326.4850069299.

Adding to 2334033240 its reverse (423304332), we get a palindrome (2757337572).

The spelling of 2334033240 in words is "two billion, three hundred thirty-four million, thirty-three thousand, two hundred forty".