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300431234224 = 24116739076521
BaseRepresentation
bin1000101111100110001…
…10001101010010110000
31001201110120100222220001
410113303012031102300
514410240343443344
6350003255555344
730463652233102
oct4276306152260
91051416328801
10300431234224
11106459665a20
124a28598bb54
132243b287ba4
1410780517572
157c35491ed4
hex45f318d4b0

300431234224 has 80 divisors (see below), whose sum is σ = 644743840896. Its totient is φ = 134466393600.

The previous prime is 300431234189. The next prime is 300431234249. The reversal of 300431234224 is 422432134003.

It is a junction number, because it is equal to n+sod(n) for n = 300431234192 and 300431234201.

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, 46068084 + ... + 46074604.

Almost surely, 2300431234224 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 300431234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322371920448).

300431234224 is an abundant number, since it is smaller than the sum of its proper divisors (344312606672).

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

300431234224 is a wasteful number, since it uses less digits than its factorization.

300431234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 300431234224 its reverse (422432134003), we get a palindrome (722863368227).

The spelling of 300431234224 in words is "three hundred billion, four hundred thirty-one million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2948 3907 5896 6521 7814 11792 13042 15628 26084 31256 42977 52168 62512 71731 85954 104336 143462 171908 261769 286924 343816 436907 523538 573848 687632 873814 1047076 1147696 1747628 2094152 2879459 3495256 4188304 4805977 5758918 6990512 9611954 11517836 19223908 23035672 25477547 38447816 46071344 50955094 76895632 101910188 203820376 280253017 407640752 560506034 1121012068 1706995649 2242024136 3413991298 4484048272 6827982596 13655965192 18776952139 27311930384 37553904278 75107808556 150215617112 300431234224