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5340443904 = 28323174771
BaseRepresentation
bin1001111100101000…
…01011010100000000
3111210011222122210200
410332110023110000
541414123201104
62241532125200
7246225011205
oct47624132400
914704878720
105340443904
1122a05a5604
121050606800
1367154a2a3
143893a1cac
15213ca3b39
hex13e50b500

5340443904 has 108 divisors (see below), whose sum is σ = 15894732672. Its totient is φ = 1722700800.

The previous prime is 5340443893. The next prime is 5340443939. The reversal of 5340443904 is 4093440435.

It is a happy number.

It is a super-2 number, since 2×53404439042 = 57040682183541522432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34039 + ... + 108809.

Almost surely, 25340443904 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 5340443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947366336).

5340443904 is an abundant number, since it is smaller than the sum of its proper divisors (10554288768).

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

5340443904 is a wasteful number, since it uses less digits than its factorization.

5340443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74824 (or 74807 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5340443904 is about 73078.3408678659. The cubic root of 5340443904 is about 1747.9370416156.

The spelling of 5340443904 in words is "five billion, three hundred forty million, four hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 17856 23808 35712 71424 74771 149542 224313 299084 448626 598168 672939 897252 1196336 1345878 1794504 2317901 2392672 2691756 3589008 4635802 4785344 5383512 6953703 7178016 9271604 9570688 10767024 13907406 14356032 18543208 19141376 20861109 21534048 27814812 28712064 37086416 41722218 43068096 55629624 57424128 74172832 83444436 86136192 111259248 148345664 166888872 172272384 222518496 296691328 333777744 445036992 593382656 667555488 890073984 1335110976 1780147968 2670221952 5340443904