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3040382436 = 2237134759239
BaseRepresentation
bin1011010100111000…
…1000110111100100
321211220000102121220
42311032020313210
522211314214221
61221405540340
7135225552510
oct26516106744
97756012556
103040382436
111320242363
1270a2746b0
13395b83180
1420bb19140
1512bdbe0c6
hexb5388de4

3040382436 has 96 divisors (see below), whose sum is σ = 8917278720. Its totient is φ = 784785024.

The previous prime is 3040382393. The next prime is 3040382437. The reversal of 3040382436 is 6342830403.

3040382436 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3040382397 and 3040382406.

It is not an unprimeable number, because it can be changed into a prime (3040382437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21705 + ... + 80943.

It is an arithmetic number, because the mean of its divisors is an integer number (92888320).

Almost surely, 23040382436 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 3040382436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458639360).

3040382436 is an abundant number, since it is smaller than the sum of its proper divisors (5876896284).

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

3040382436 is a wasteful number, since it uses less digits than its factorization.

3040382436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59313 (or 59311 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3040382436 is about 55139.6630022346. The cubic root of 3040382436 is about 1448.6920327153.

The spelling of 3040382436 in words is "three billion, forty million, three hundred eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 52 78 84 91 94 141 156 182 188 273 282 329 364 546 564 611 658 987 1092 1222 1316 1833 1974 2444 3666 3948 4277 7332 8554 12831 17108 25662 51324 59239 118478 177717 236956 355434 414673 710868 770107 829346 1244019 1540214 1658692 2310321 2488038 2784233 3080428 4620642 4976076 5390749 5568466 8352699 9241284 10781498 11136932 16172247 16705398 19489631 21562996 32344494 33410796 36195029 38979262 58468893 64688988 72390058 77958524 108585087 116937786 144780116 217170174 233875572 253365203 434340348 506730406 760095609 1013460812 1520191218 3040382436