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3442014312 = 23311194431549
BaseRepresentation
bin1100110100101000…
…1111100001101000
322212212202102222120
43031022033201220
524022123424222
61325314151240
7151203432102
oct31512174150
98785672876
103442014312
111506a22330
12800882520
1342b146479
142491c6572
151522a615c
hexcd28f868

3442014312 has 128 divisors (see below), whose sum is σ = 9910080000. Its totient is φ = 985271040.

The previous prime is 3442014299. The next prime is 3442014319. The reversal of 3442014312 is 2134102443.

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

It is not an unprimeable number, because it can be changed into a prime (3442014319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221314 + ... + 2222862.

It is an arithmetic number, because the mean of its divisors is an integer number (77422500).

Almost surely, 23442014312 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 3442014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955040000).

3442014312 is an abundant number, since it is smaller than the sum of its proper divisors (6468065688).

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

3442014312 is a wasteful number, since it uses less digits than its factorization.

3442014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3442014312 is about 58668.6825486988. The cubic root of 3442014312 is about 1509.8630508957.

Adding to 3442014312 its reverse (2134102443), we get a palindrome (5576116755).

The spelling of 3442014312 in words is "three billion, four hundred forty-two million, fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 443 456 627 836 886 1254 1329 1549 1672 1772 2508 2658 3098 3544 4647 4873 5016 5316 6196 8417 9294 9746 10632 12392 14619 16834 17039 18588 19492 25251 29238 29431 33668 34078 37176 38984 50502 51117 58476 58862 67336 68156 88293 92587 101004 102234 116952 117724 136312 176586 185174 202008 204468 235448 277761 323741 353172 370348 408936 555522 647482 686207 706344 740696 971223 1111044 1294964 1372414 1942446 2058621 2222088 2589928 2744828 3884892 4117242 5489656 7548277 7769784 8234484 13037933 15096554 16468968 22644831 26075866 30193108 39113799 45289662 52151732 60386216 78227598 90579324 104303464 143417263 156455196 181158648 286834526 312910392 430251789 573669052 860503578 1147338104 1721007156 3442014312