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5304444240 = 243530771993
BaseRepresentation
bin1001111000010101…
…10110010101010000
3111200200020200112210
410330022312111100
541330414203430
62234204352120
7245310014004
oct47412662520
914620220483
105304444240
112282247517
121040545640
13666c54504
143846b0704
15210a422b0
hex13c2b6550

5304444240 has 80 divisors (see below), whose sum is σ = 16497569088. Its totient is φ = 1409891328.

The previous prime is 5304444221. The next prime is 5304444287. The reversal of 5304444240 is 424444035.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5304444198 and 5304444207.

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, 37684 + ... + 109676.

Almost surely, 25304444240 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 5304444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248784544).

5304444240 is an abundant number, since it is smaller than the sum of its proper divisors (11193124848).

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

5304444240 is a wasteful number, since it uses less digits than its factorization.

5304444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72316 (or 72310 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 5304444240 is about 72831.6156624306. The cubic root of 5304444240 is about 1744.0005979433. Note that the first 3 decimals are identical.

Adding to 5304444240 its reverse (424444035), we get a palindrome (5728888275).

The spelling of 5304444240 in words is "five billion, three hundred four million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 12280 14736 18420 24560 36840 71993 73680 143986 215979 287972 359965 431958 575944 719930 863916 1079895 1151888 1439860 1727832 2159790 2879720 3455664 4319580 5759440 8639160 17278320 22101851 44203702 66305553 88407404 110509255 132611106 176814808 221018510 265222212 331527765 353629616 442037020 530444424 663055530 884074040 1060888848 1326111060 1768148080 2652222120 5304444240