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339380820 = 223356110303
BaseRepresentation
bin10100001110101…
…000101001010100
3212122121022222000
4110032220221110
51143340141240
653402035300
711260455312
oct2416505124
9778538860
10339380820
11164631919
12957a8b30
135540886c
14331050b2
151ebdc430
hex143a8a54

339380820 has 96 divisors (see below), whose sum is σ = 1073264640. Its totient is φ = 89009280.

The previous prime is 339380819. The next prime is 339380837. The reversal of 339380820 is 28083933.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27789 + ... + 38091.

It is an arithmetic number, because the mean of its divisors is an integer number (11179840).

Almost surely, 2339380820 is an apocalyptic number.

339380820 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 339380820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536632320).

339380820 is an abundant number, since it is smaller than the sum of its proper divisors (733883820).

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

339380820 is a wasteful number, since it uses less digits than its factorization.

339380820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 339380820 is about 18422.2913884240. The cubic root of 339380820 is about 697.5292622710.

The spelling of 339380820 in words is "three hundred thirty-nine million, three hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10303 10980 16470 20606 30909 32940 41212 51515 61818 92727 103030 123636 154545 185454 206060 278181 309090 370908 463635 556362 618180 628483 927270 1112724 1256966 1390905 1854540 1885449 2513932 2781810 3142415 3770898 5563620 5656347 6284830 7541796 9427245 11312694 12569660 16969041 18854490 22625388 28281735 33938082 37708980 56563470 67876164 84845205 113126940 169690410 339380820