Search a number
-
+
2234370768 = 243741241673
BaseRepresentation
bin1000010100101101…
…1100101011010000
312202201100210110220
42011023130223100
514033444331033
61005414153040
7106240560330
oct20513345320
95681323426
102234370768
11a47275913
12524352780
13297ba6ba6
14172a670c0
15d125abb3
hex852dcad0

2234370768 has 160 divisors (see below), whose sum is σ = 6795731712. Its totient is φ = 619315200.

The previous prime is 2234370757. The next prime is 2234370779. The reversal of 2234370768 is 8670734322.

It is an interprime number because it is at equal distance from previous prime (2234370757) and next prime (2234370779).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3319680 + ... + 3320352.

Almost surely, 22234370768 is an apocalyptic number.

2234370768 is a gapful number since it is divisible by the number (28) 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 2234370768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397865856).

2234370768 is an abundant number, since it is smaller than the sum of its proper divisors (4561360944).

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

2234370768 is a wasteful number, since it uses less digits than its factorization.

2234370768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 2234370768 is about 47269.1312380501. The cubic root of 2234370768 is about 1307.3295575589.

The spelling of 2234370768 in words is "two billion, two hundred thirty-four million, three hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 241 246 287 328 336 482 492 574 656 673 723 861 964 984 1148 1346 1446 1687 1722 1928 1968 2019 2296 2692 2892 3374 3444 3856 4038 4592 4711 5061 5384 5784 6748 6888 8076 9422 9881 10122 10768 11568 13496 13776 14133 16152 18844 19762 20244 26992 27593 28266 29643 32304 37688 39524 40488 55186 56532 59286 69167 75376 79048 80976 82779 110372 113064 118572 138334 158096 162193 165558 193151 207501 220744 226128 237144 276668 324386 331116 386302 415002 441488 474288 486579 553336 579453 648772 662232 772604 830004 973158 1106672 1135351 1158906 1297544 1324464 1545208 1660008 1946316 2270702 2317812 2595088 3090416 3320016 3406053 3892632 4541404 4635624 6649913 6812106 7785264 9082808 9271248 13299826 13624212 18165616 19949739 26599652 27248424 39899478 46549391 53199304 54496848 79798956 93098782 106398608 139648173 159597912 186197564 279296346 319195824 372395128 558592692 744790256 1117185384 2234370768