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2014934320 = 245723732143
BaseRepresentation
bin111100000011001…
…0111010100110000
312012102110021021001
41320012113110300
513111310344240
6531535011344
7100634442040
oct17006272460
95172407231
102014934320
11944417a83
12482969b54
132615a5b39
14151865720
15bbd6289a
hex78197530

2014934320 has 160 divisors (see below), whose sum is σ = 5665923072. Its totient is φ = 651442176.

The previous prime is 2014934267. The next prime is 2014934323. The reversal of 2014934320 is 234394102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2014934323) 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, 939169 + ... + 941311.

Almost surely, 22014934320 is an apocalyptic number.

2014934320 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 2014934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832961536).

2014934320 is an abundant number, since it is smaller than the sum of its proper divisors (3650988752).

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

2014934320 is a wasteful number, since it uses less digits than its factorization.

2014934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2014934320 is about 44888.0197825656. The cubic root of 2014934320 is about 1263.0492871070.

The spelling of 2014934320 in words is "two billion, fourteen million, nine hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 73 80 92 112 115 140 146 161 184 230 280 292 322 365 368 460 511 560 584 644 730 805 920 1022 1168 1288 1460 1610 1679 1840 2044 2143 2555 2576 2920 3220 3358 4088 4286 5110 5840 6440 6716 8176 8395 8572 10220 10715 11753 12880 13432 15001 16790 17144 20440 21430 23506 26864 30002 33580 34288 40880 42860 47012 49289 58765 60004 67160 75005 85720 94024 98578 117530 120008 134320 150010 156439 171440 188048 197156 235060 240016 246445 300020 312878 345023 394312 470120 492890 600040 625756 690046 782195 788624 940240 985780 1095073 1200080 1251512 1380092 1564390 1725115 1971560 2190146 2503024 2760184 3128780 3450230 3598097 3943120 4380292 5475365 5520368 6257560 6900460 7196194 8760584 10950730 12515120 13800920 14392388 17521168 17990485 21901460 25186679 27601840 28784776 35980970 43802920 50373358 57569552 71961940 87605840 100746716 125933395 143923880 201493432 251866790 287847760 402986864 503733580 1007467160 2014934320