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2014323000 = 233531935339
BaseRepresentation
bin111100000010000…
…0010000100111000
312012101022012200120
41320010002010320
513111131314000
6531513533240
7100626314544
oct17004020470
95171265616
102014323000
1194403a758
12482714220
13261420801
14151746a24
15bbc916a0
hex78102138

2014323000 has 128 divisors (see below), whose sum is σ = 6615648000. Its totient is φ = 508867200.

The previous prime is 2014322987. The next prime is 2014323011. The reversal of 2014323000 is 3234102.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 39331 + ... + 74669.

It is an arithmetic number, because the mean of its divisors is an integer number (51684750).

Almost surely, 22014323000 is an apocalyptic number.

2014323000 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 2014323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824000).

2014323000 is an abundant number, since it is smaller than the sum of its proper divisors (4601325000).

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

2014323000 is a wasteful number, since it uses less digits than its factorization.

2014323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35382 (or 35368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2014323000 is about 44881.2098767402. The cubic root of 2014323000 is about 1262.9215401159.

Adding to 2014323000 its reverse (3234102), we get a palindrome (2017557102).

The spelling of 2014323000 in words is "two billion, fourteen million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 35339 57000 70678 106017 141356 176695 212034 282712 353390 424068 530085 671441 706780 848136 883475 1060170 1342882 1413560 1766950 2014323 2120340 2650425 2685764 3357205 3533900 4028646 4240680 4417375 5300850 5371528 6714410 7067800 8057292 8834750 10071615 10601700 13252125 13428820 16114584 16786025 17669500 20143230 21203400 26504250 26857640 33572050 35339000 40286460 50358075 53008500 67144100 80572920 83930125 100716150 106017000 134288200 167860250 201432300 251790375 335720500 402864600 503580750 671441000 1007161500 2014323000