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2040415344 = 2432111775773
BaseRepresentation
bin111100110011110…
…0100010001110000
312021012101211122200
41321213210101300
513134321242334
6534245103200
7101364146532
oct17147442160
95235354580
102040415344
11957841280
1248b3b7b00
13266957c76
14154db9852
15be1e7799
hex799e4470

2040415344 has 120 divisors (see below), whose sum is σ = 6595975152. Its totient is φ = 581928960.

The previous prime is 2040415337. The next prime is 2040415393. The reversal of 2040415344 is 4435140402.

It is a happy number.

2040415344 is a `hidden beast` number, since 204 + 0 + 415 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10959 + ... + 64814.

Almost surely, 22040415344 is an apocalyptic number.

2040415344 is a gapful number since it is divisible by the number (24) 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 2040415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297987576).

2040415344 is an abundant number, since it is smaller than the sum of its proper divisors (4555559808).

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

2040415344 is a wasteful number, since it uses less digits than its factorization.

2040415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75815 (or 75806 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2040415344 is about 45170.9568638965. The cubic root of 2040415344 is about 1268.3512081638.

Adding to 2040415344 its reverse (4435140402), we get a palindrome (6475555746).

The spelling of 2040415344 in words is "two billion, forty million, four hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 75773 151546 227319 303092 454638 606184 681957 833503 909276 1212368 1288141 1363914 1667006 1818552 2500509 2576282 2727828 3334012 3637104 3864423 5001018 5152564 5455656 6668024 7501527 7728846 10002036 10305128 10911312 11593269 13336048 14169551 15003054 15457692 20004072 20610256 23186538 28339102 30006108 30915384 40008144 42508653 46373076 56678204 60012216 61830768 85017306 92746152 113356408 120024432 127525959 170034612 185492304 226712816 255051918 340069224 510103836 680138448 1020207672 2040415344