Search a number
-
+
3410053440 = 26356753017
BaseRepresentation
bin1100101101000001…
…0100100101000000
322210122121122220120
43023100110211000
523440433202230
61322213140240
7150334655523
oct31320244500
98718548816
103410053440
11149a982692
127b202a680
13424635b01
14244c66bba
1514e591310
hexcb414940

3410053440 has 112 divisors (see below), whose sum is σ = 10988722752. Its totient is φ = 895758336.

The previous prime is 3410053417. The next prime is 3410053447. The reversal of 3410053440 is 443500143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3410053440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410053447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37812 + ... + 90828.

It is an arithmetic number, because the mean of its divisors is an integer number (98113596).

Almost surely, 23410053440 is an apocalyptic number.

3410053440 is a gapful number since it is divisible by the number (30) 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 3410053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494361376).

3410053440 is an abundant number, since it is smaller than the sum of its proper divisors (7578669312).

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

3410053440 is a wasteful number, since it uses less digits than its factorization.

3410053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53104 (or 53094 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3410053440 is about 58395.6628526469. The cubic root of 3410053440 is about 1505.1752263757.

Adding to 3410053440 its reverse (443500143), we get a palindrome (3853553583).

The spelling of 3410053440 in words is "three billion, four hundred ten million, fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 53017 64320 106034 159051 212068 265085 318102 424136 530170 636204 795255 848272 1060340 1272408 1590510 1696544 2120680 2544816 3181020 3393088 3552139 4241360 5089632 6362040 7104278 8482720 10179264 10656417 12724080 14208556 16965440 17760695 21312834 25448160 28417112 35521390 42625668 50896320 53282085 56834224 71042780 85251336 106564170 113668448 142085560 170502672 213128340 227336896 284171120 341005344 426256680 568342240 682010688 852513360 1136684480 1705026720 3410053440