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4023420324 = 22371125716943
BaseRepresentation
bin1110111111010000…
…1000010110100100
3101101101202221002120
43233310020112210
531214443422244
61503123505540
7201463336260
oct35764102644
911341687076
104023420324
111785130270
129435282b0
134c17318b1
142a24cd0a0
1518834e819
hexefd085a4

4023420324 has 96 divisors (see below), whose sum is σ = 11750731776. Its totient is φ = 1040916480.

The previous prime is 4023420307. The next prime is 4023420347. The reversal of 4023420324 is 4230243204.

4023420324 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40234203242 = 32375822207152529952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4023420294 and 4023420303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228997 + ... + 245939.

It is an arithmetic number, because the mean of its divisors is an integer number (122403456).

Almost surely, 24023420324 is an apocalyptic number.

4023420324 is a gapful number since it is divisible by the number (44) 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 4023420324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875365888).

4023420324 is an abundant number, since it is smaller than the sum of its proper divisors (7727311452).

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

4023420324 is a wasteful number, since it uses less digits than its factorization.

4023420324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17225 (or 17223 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4023420324 is about 63430.4368895564. The cubic root of 4023420324 is about 1590.4931455575.

Adding to 4023420324 its reverse (4230243204), we get a palindrome (8253663528).

The spelling of 4023420324 in words is "four billion, twenty-three million, four hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 257 308 462 514 771 924 1028 1542 1799 2827 3084 3598 5397 5654 7196 8481 10794 11308 16943 16962 19789 21588 33886 33924 39578 50829 59367 67772 79156 101658 118601 118734 186373 203316 237202 237468 355803 372746 474404 559119 711606 745492 1118238 1304611 1423212 2236476 2609222 3913833 4354351 5218444 7827666 8708702 13063053 15655332 17417404 26126106 30480457 47897861 52252212 60960914 91441371 95795722 121921828 143693583 182882742 191591444 287387166 335285027 365765484 574774332 670570054 1005855081 1341140108 2011710162 4023420324