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4034244024 = 23321731106321
BaseRepresentation
bin1111000001110101…
…1010110110111000
3101102011010211102100
43300131122312320
531230231302044
61504151503400
7201654336246
oct36035326670
911364124370
104034244024
111790253278
12947087b60
134c3a51355
142a3b09796
1518928b869
hexf075adb8

4034244024 has 96 divisors (see below), whose sum is σ = 11942087040. Its totient is φ = 1224806400.

The previous prime is 4034244023. The next prime is 4034244029. The reversal of 4034244024 is 4204424304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034244023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15217 + ... + 91104.

It is an arithmetic number, because the mean of its divisors is an integer number (124396740).

Almost surely, 24034244024 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 4034244024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971043520).

4034244024 is an abundant number, since it is smaller than the sum of its proper divisors (7907843016).

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

4034244024 is a wasteful number, since it uses less digits than its factorization.

4034244024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106381 (or 106374 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4034244024 is about 63515.6990357502. The cubic root of 4034244024 is about 1591.9181028635.

Adding to 4034244024 its reverse (4204424304), we get a palindrome (8238668328).

The spelling of 4034244024 in words is "four billion, thirty-four million, two hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2232 3162 4216 4743 6324 9486 12648 18972 37944 106321 212642 318963 425284 637926 850568 956889 1275852 1807457 1913778 2551704 3295951 3614914 3827556 5422371 6591902 7229828 7655112 9887853 10844742 13183804 14459656 16267113 19775706 21689484 26367608 29663559 32534226 39551412 43378968 56031167 59327118 65068452 79102824 112062334 118654236 130136904 168093501 224124668 237308472 336187002 448249336 504280503 672374004 1008561006 1344748008 2017122012 4034244024