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1714004480 = 2954091637
BaseRepresentation
bin110011000101001…
…1010001000000000
311102110012110010102
41212022122020000
512002241120410
6442025021532
760321540416
oct14612321000
94373173112
101714004480
117aa568a31
123ba0248a8
13214140a46
141238cd2b6
15a071d2a5
hex6629a200

1714004480 has 80 divisors (see below), whose sum is σ = 4122158040. Its totient is φ = 683507712.

The previous prime is 1714004437. The next prime is 1714004483. The reversal of 1714004480 is 844004171.

It can be written as a sum of positive squares in 4 ways, for example, as 1283358976 + 430645504 = 35824^2 + 20752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×17140044802 = 5875622714920140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1714004483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046222 + ... + 1047858.

Almost surely, 21714004480 is an apocalyptic number.

1714004480 is a gapful number since it is divisible by the number (10) 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 1714004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061079020).

1714004480 is an abundant number, since it is smaller than the sum of its proper divisors (2408153560).

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

1714004480 is an equidigital number, since it uses as much as digits as its factorization.

1714004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 1714004480 is about 41400.5371945824. The cubic root of 1714004480 is about 1196.7515103273.

The spelling of 1714004480 in words is "one billion, seven hundred fourteen million, four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 409 512 640 818 1280 1636 1637 2045 2560 3272 3274 4090 6544 6548 8180 8185 13088 13096 16360 16370 26176 26192 32720 32740 52352 52384 65440 65480 104704 104768 130880 130960 209408 209536 261760 261920 419072 523520 523840 669533 838144 1047040 1047680 1339066 2095360 2678132 3347665 4190720 5356264 6695330 10712528 13390660 21425056 26781320 42850112 53562640 85700224 107125280 171400448 214250560 342800896 428501120 857002240 1714004480