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2314234320 = 243531734261
BaseRepresentation
bin1000100111110000…
…0110100111010000
312222021122021200020
42021330012213100
514214420444240
61021350023440
7111230444556
oct21174064720
95867567606
102314234320
11a88363552
12547047b80
132ab5ba128
1417d4d5bd6
15d82840d0
hex89f069d0

2314234320 has 160 divisors (see below), whose sum is σ = 7508757504. Its totient is φ = 588902400.

The previous prime is 2314234297. The next prime is 2314234331. The reversal of 2314234320 is 234324132.

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

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, 540990 + ... + 545250.

Almost surely, 22314234320 is an apocalyptic number.

2314234320 is a gapful number since it is divisible by the number (20) 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 2314234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754378752).

2314234320 is an abundant number, since it is smaller than the sum of its proper divisors (5194523184).

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

2314234320 is a wasteful number, since it uses less digits than its factorization.

2314234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2314234320 is about 48106.4893751352. The cubic root of 2314234320 is about 1322.7236233593.

Adding to 2314234320 its reverse (234324132), we get a palindrome (2548558452).

The spelling of 2314234320 in words is "two billion, three hundred fourteen million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 73 80 93 120 124 146 155 186 219 240 248 292 310 365 372 438 465 496 584 620 730 744 876 930 1095 1168 1240 1460 1488 1752 1860 2190 2263 2480 2920 3504 3720 4261 4380 4526 5840 6789 7440 8522 8760 9052 11315 12783 13578 17044 17520 18104 21305 22630 25566 27156 33945 34088 36208 42610 45260 51132 54312 63915 67890 68176 85220 90520 102264 108624 127830 132091 135780 170440 181040 204528 255660 264182 271560 311053 340880 396273 511320 528364 543120 622106 660455 792546 933159 1022640 1056728 1244212 1320910 1555265 1585092 1866318 1981365 2113456 2488424 2641820 3110530 3170184 3732636 3962730 4665795 4976848 5283640 6221060 6340368 7465272 7925460 9331590 9642643 10567280 12442120 14930544 15850920 18663180 19285286 24884240 28927929 31701840 37326360 38570572 48213215 57855858 74652720 77141144 96426430 115711716 144639645 154282288 192852860 231423432 289279290 385705720 462846864 578558580 771411440 1157117160 2314234320