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2331034040 = 235377919937
BaseRepresentation
bin1000101011110000…
…1100000110111000
320000110020210120002
42022330030012320
514233221042130
61023150052132
7111523314416
oct21274140670
96013223502
102331034040
11a96898415
125507aa048
132b1c1c9aa
1418182a2b6
15d99a1b45
hex8af0c1b8

2331034040 has 64 divisors (see below), whose sum is σ = 5455036800. Its totient is φ = 895684608.

The previous prime is 2331034037. The next prime is 2331034081. The reversal of 2331034040 is 404301332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106952 + ... + 126888.

It is an arithmetic number, because the mean of its divisors is an integer number (85234950).

Almost surely, 22331034040 is an apocalyptic number.

2331034040 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 2331034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727518400).

2331034040 is an abundant number, since it is smaller than the sum of its proper divisors (3124002760).

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

2331034040 is a wasteful number, since it uses less digits than its factorization.

2331034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20064 (or 20060 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2331034040 is about 48280.7833407868. The cubic root of 2331034040 is about 1325.9165918445.

Adding to 2331034040 its reverse (404301332), we get a palindrome (2735335372).

The spelling of 2331034040 in words is "two billion, three hundred thirty-one million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 79 148 158 185 296 316 370 395 632 740 790 1480 1580 2923 3160 5846 11692 14615 19937 23384 29230 39874 58460 79748 99685 116920 159496 199370 398740 737669 797480 1475338 1575023 2950676 3150046 3688345 5901352 6300092 7376690 7875115 12600184 14753380 15750230 29506760 31500460 58275851 63000920 116551702 233103404 291379255 466206808 582758510 1165517020 2331034040