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309640240 = 24571342533
BaseRepresentation
bin10010011101001…
…011110000110000
3210120122100120001
4102131023300300
51113231441430
650420355344
710446620140
oct2235136060
9716570501
10309640240
11149869328
1287845b54
134c1c49a0
142d1a2920
151c2b53ca
hex1274bc30

309640240 has 80 divisors (see below), whose sum is σ = 886068288. Its totient is φ = 97993728.

The previous prime is 309640229. The next prime is 309640259. The reversal of 309640240 is 42046903.

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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 309640199 and 309640208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13987 + ... + 28546.

Almost surely, 2309640240 is an apocalyptic number.

It is an amenable number.

309640240 is an abundant number, since it is smaller than the sum of its proper divisors (576428048).

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

309640240 is a wasteful number, since it uses less digits than its factorization.

309640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42566 (or 42560 counting only the distinct ones).

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

The square root of 309640240 is about 17596.5973983609. The cubic root of 309640240 is about 676.5280353185.

The spelling of 309640240 in words is "three hundred nine million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 42533 85066 170132 212665 297731 340264 425330 552929 595462 680528 850660 1105858 1190924 1488655 1701320 2211716 2381848 2764645 2977310 3402640 3870503 4423432 4763696 5529290 5954620 7741006 8846864 11058580 11909240 15482012 19352515 22117160 23818480 30964024 38705030 44234320 61928048 77410060 154820120 309640240