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303430003040 = 25519293340657
BaseRepresentation
bin1000110101001011101…
…01100110100101100000
31002000012120002020100202
410122211311212211200
514432411040044130
6351221022004332
730631164320243
oct4324565464540
91060176066322
10303430003040
1110775836535a
124a9821166a8
13227c862abc8
14109868bd25a
157d5d891145
hex46a5d66960

303430003040 has 96 divisors (see below), whose sum is σ = 757160097120. Its totient is φ = 114591227904.

The previous prime is 303430003001. The next prime is 303430003049. The reversal of 303430003040 is 40300034303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303430003049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720392 + ... + 1061048.

It is an arithmetic number, because the mean of its divisors is an integer number (7887084345).

Almost surely, 2303430003040 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 303430003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378580048560).

303430003040 is an abundant number, since it is smaller than the sum of its proper divisors (453730094080).

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

303430003040 is a wasteful number, since it uses less digits than its factorization.

303430003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340984 (or 340976 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 303430003040 its reverse (40300034303), we get a palindrome (343730037343).

The spelling of 303430003040 in words is "three hundred three billion, four hundred thirty million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 293 304 380 586 608 760 1172 1465 1520 2344 2930 3040 4688 5567 5860 9376 11134 11720 22268 23440 27835 44536 46880 55670 89072 111340 178144 222680 340657 445360 681314 890720 1362628 1703285 2725256 3406570 5450512 6472483 6813140 10901024 12944966 13626280 25889932 27252560 32362415 51779864 54505120 64724830 99812501 103559728 129449660 199625002 207119456 258899320 399250004 499062505 517798640 798500008 998125010 1035597280 1597000016 1896437519 1996250020 3194000032 3792875038 3992500040 7585750076 7985000080 9482187595 15171500152 15970000160 18964375190 30343000304 37928750380 60686000608 75857500760 151715001520 303430003040