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3440025468 = 223211192391913
BaseRepresentation
bin1100110100001010…
…1001111101111100
322212202000101210200
43031002221331330
524021121303333
61325203403500
7151150506525
oct31502517574
98782011720
103440025468
111505894060
12800083590
1342a8cb139
14248c2984c
15152011c13
hexcd0a9f7c

3440025468 has 144 divisors (see below), whose sum is σ = 10032422400. Its totient is φ = 982920960.

The previous prime is 3440025467. The next prime is 3440025469. The reversal of 3440025468 is 8645200443.

3440025468 is a `hidden beast` number, since 344 + 0 + 0 + 254 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3440025467) and next prime (3440025469).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440025467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1797280 + ... + 1799192.

It is an arithmetic number, because the mean of its divisors is an integer number (69669600).

Almost surely, 23440025468 is an apocalyptic number.

3440025468 is a gapful number since it is divisible by the number (38) 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 3440025468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016211200).

3440025468 is an abundant number, since it is smaller than the sum of its proper divisors (6592396932).

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

3440025468 is a wasteful number, since it uses less digits than its factorization.

3440025468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3440025468 is about 58651.7303069568. The cubic root of 3440025468 is about 1509.5721882058.

The spelling of 3440025468 in words is "three billion, four hundred forty million, twenty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 239 342 396 418 478 627 684 717 836 956 1254 1434 1881 1913 2151 2508 2629 2868 3762 3826 4302 4541 5258 5739 7524 7652 7887 8604 9082 10516 11478 13623 15774 17217 18164 21043 22956 23661 27246 31548 34434 36347 40869 42086 47322 49951 54492 63129 68868 72694 81738 84172 94644 99902 109041 126258 145388 149853 163476 189387 199804 218082 252516 299706 327123 378774 399817 436164 449559 457207 599412 654246 757548 799634 899118 914414 1199451 1308492 1371621 1599268 1798236 1828828 2398902 2743242 3598353 4114863 4797804 5029277 5486484 7196706 8229726 8686933 10058554 14393412 15087831 16459452 17373866 20117108 26060799 30175662 34747732 45263493 52121598 60351324 78182397 90526986 95556263 104243196 156364794 181053972 191112526 286668789 312729588 382225052 573337578 860006367 1146675156 1720012734 3440025468