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4034313432 = 233347401991
BaseRepresentation
bin1111000001110110…
…1011110011011000
3101102011021100122000
43300131223303120
531230241012212
61504153201000
7201655045512
oct36035536330
911364240560
104034313432
1117902a0436
12947100160
134c3a76b16
142a3b26bb2
151892a21dc
hexf076bcd8

4034313432 has 128 divisors (see below), whose sum is σ = 11484979200. Its totient is φ = 1311552000.

The previous prime is 4034313403. The next prime is 4034313467. The reversal of 4034313432 is 2343134304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4034313396 and 4034313405.

It is a congruent number.

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, 4070457 + ... + 4071447.

It is an arithmetic number, because the mean of its divisors is an integer number (89726400).

Almost surely, 24034313432 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 4034313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742489600).

4034313432 is an abundant number, since it is smaller than the sum of its proper divisors (7450665768).

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

4034313432 is a wasteful number, since it uses less digits than its factorization.

4034313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4034313432 is about 63516.2454180031. The cubic root of 4034313432 is about 1591.9272323077.

Adding to 4034313432 its reverse (2343134304), we get a palindrome (6377447736).

The spelling of 4034313432 in words is "four billion, thirty-four million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 401 423 564 802 846 991 1128 1203 1269 1604 1692 1982 2406 2538 2973 3208 3384 3609 3964 4812 5076 5946 7218 7928 8919 9624 10152 10827 11892 14436 17838 18847 21654 23784 26757 28872 35676 37694 43308 46577 53514 56541 71352 75388 86616 93154 107028 113082 139731 150776 169623 186308 214056 226164 279462 339246 372616 397391 419193 452328 508869 558924 678492 794782 838386 1017738 1117848 1192173 1257579 1356984 1589564 1676772 2035476 2384346 2515158 3179128 3353544 3576519 4070952 4768692 5030316 7153038 9537384 10060632 10729557 14306076 18677377 21459114 28612152 37354754 42918228 56032131 74709508 85836456 112064262 149419016 168096393 224128524 336192786 448257048 504289179 672385572 1008578358 1344771144 2017156716 4034313432