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2344142304 = 2532710710867
BaseRepresentation
bin1000101110111000…
…1100010111100000
320001100220202201100
42023232030113200
514300100023204
61024335034400
7112042611060
oct21356142740
96040822640
102344142304
11aa3230899
1255506ba00
132b485c26a
1418347d3a0
15dabe0a39
hex8bb8c5e0

2344142304 has 144 divisors (see below), whose sum is σ = 7690370688. Its totient is φ = 663434496.

The previous prime is 2344142303. The next prime is 2344142321. The reversal of 2344142304 is 4032414432.

It is a happy number.

2344142304 is a `hidden beast` number, since 2 + 344 + 14 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344142303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210279 + ... + 221145.

It is an arithmetic number, because the mean of its divisors is an integer number (53405352).

Almost surely, 22344142304 is an apocalyptic number.

2344142304 is a gapful number since it is divisible by the number (24) 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 2344142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845185344).

2344142304 is an abundant number, since it is smaller than the sum of its proper divisors (5346228384).

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

2344142304 is a wasteful number, since it uses less digits than its factorization.

2344142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2344142304 is about 48416.3433563502. The cubic root of 2344142304 is about 1328.3973202693.

Adding to 2344142304 its reverse (4032414432), we get a palindrome (6376556736).

The spelling of 2344142304 in words is "two billion, three hundred forty-four million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 672 749 856 963 1008 1284 1498 1712 1926 2016 2247 2568 2996 3424 3852 4494 5136 5992 6741 7704 8988 10272 10867 11984 13482 15408 17976 21734 23968 26964 30816 32601 35952 43468 53928 65202 71904 76069 86936 97803 107856 130404 152138 173872 195606 215712 228207 260808 304276 347744 391212 456414 521616 608552 684621 782424 912828 1043232 1162769 1217104 1369242 1564848 1825656 2325538 2434208 2738484 3129696 3488307 3651312 4651076 5476968 6976614 7302624 8139383 9302152 10464921 10953936 13953228 16278766 18604304 20929842 21907872 24418149 27906456 32557532 37208608 41859684 48836298 55812912 65115064 73254447 83719368 97672596 111625824 130230128 146508894 167438736 195345192 260460256 293017788 334877472 390690384 586035576 781380768 1172071152 2344142304