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3340024040 = 235378925357
BaseRepresentation
bin1100011100010100…
…1011100011101000
322121202211210122002
43013011023203220
523320021232130
61311232150132
7145524510263
oct30705134350
98552753562
103340024040
1114643a1551
12792698348
13412c86ab2
14239837cda
1514835bb45
hexc714b8e8

3340024040 has 64 divisors (see below), whose sum is σ = 7805192400. Its totient is φ = 1285244928.

The previous prime is 3340024033. The next prime is 3340024049. The reversal of 3340024040 is 404200433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1338535396 + 2001488644 = 36586^2 + 44738^2 .

It is a super-2 number, since 2×33400240402 = 22311521175555843200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3340024049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119042 + ... + 144398.

Almost surely, 23340024040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902596200).

3340024040 is an abundant number, since it is smaller than the sum of its proper divisors (4465168360).

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

3340024040 is a wasteful number, since it uses less digits than its factorization.

3340024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25494 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3340024040 is about 57792.9410914516. The cubic root of 3340024040 is about 1494.8003730423.

Adding to 3340024040 its reverse (404200433), we get a palindrome (3744224473).

The spelling of 3340024040 in words is "three billion, three hundred forty million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 89 148 178 185 296 356 370 445 712 740 890 1480 1780 3293 3560 6586 13172 16465 25357 26344 32930 50714 65860 101428 126785 131720 202856 253570 507140 938209 1014280 1876418 2256773 3752836 4513546 4691045 7505672 9027092 9382090 11283865 18054184 18764180 22567730 37528360 45135460 83500601 90270920 167001202 334002404 417503005 668004808 835006010 1670012020 3340024040