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30395280 = 2435891423
BaseRepresentation
bin111001111110…
…0101110010000
32010012020111010
41303330232100
530240122110
63003250520
7516232656
oct163745620
963166433
1030395280
1116180473
12a219a40
1363b2b96
144072dd6
152a06020
hex1cfcb90

30395280 has 80 divisors (see below), whose sum is σ = 95351040. Its totient is φ = 8008704.

The previous prime is 30395279. The next prime is 30395317. The reversal of 30395280 is 8259303.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20649 + ... + 22071.

It is an arithmetic number, because the mean of its divisors is an integer number (1191888).

Almost surely, 230395280 is an apocalyptic number.

30395280 is a gapful number since it is divisible by the number (30) 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 30395280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47675520).

30395280 is an abundant number, since it is smaller than the sum of its proper divisors (64955760).

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

30395280 is a wasteful number, since it uses less digits than its factorization.

30395280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30395280 is about 5513.1914532329. The cubic root of 30395280 is about 312.0819968574.

30395280 divided by its sum of digits (30) gives a triangular number (1013176 = T1423).

The spelling of 30395280 in words is "thirty million, three hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1423 1424 1780 2136 2670 2846 3560 4269 4272 5340 5692 7115 7120 8538 10680 11384 14230 17076 21345 21360 22768 28460 34152 42690 56920 68304 85380 113840 126647 170760 253294 341520 379941 506588 633235 759882 1013176 1266470 1519764 1899705 2026352 2532940 3039528 3799410 5065880 6079056 7598820 10131760 15197640 30395280