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339649380 = 223257297397
BaseRepresentation
bin10100001111101…
…010001101100100
3212200002222100200
4110033222031210
51143422240010
653411510500
711262654300
oct2417521544
9780088320
10339649380
111647a5674
12958b8430
13554a0b85
1433174d00
151ec41cc0
hex143ea364

339649380 has 216 divisors, whose sum is σ = 1213882488. Its totient is φ = 76640256.

The previous prime is 339649357. The next prime is 339649393. The reversal of 339649380 is 83946933.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 292204836 = 6888^2 + 17094^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 855342 + ... + 855738.

Almost surely, 2339649380 is an apocalyptic number.

339649380 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 339649380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606941244).

339649380 is an abundant number, since it is smaller than the sum of its proper divisors (874233108).

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

339649380 is a wasteful number, since it uses less digits than its factorization.

339649380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 339649380 is about 18429.5789425586. The cubic root of 339649380 is about 697.7132041802.

The spelling of 339649380 in words is "three hundred thirty-nine million, six hundred forty-nine thousand, three hundred eighty".