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339697152 = 29348191
BaseRepresentation
bin10100001111110…
…101111000000000
3212200012101220000
4110033311320000
51143430302102
653412520000
711263243464
oct2417657000
9780171800
10339697152
11164828553
1295920000
13554b9842
14331884a4
151ec5101c
hex143f5e00

339697152 has 100 divisors (see below), whose sum is σ = 1014030336. Its totient is φ = 113218560.

The previous prime is 339697151. The next prime is 339697207. The reversal of 339697152 is 251796933.

It is a super-2 number, since 2×3396971522 = 230788310153822208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 339697098 and 339697107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339697151) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 37377 + ... + 45567.

Almost surely, 2339697152 is an apocalyptic number.

339697152 is a gapful number since it is divisible by the number (32) 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 339697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507015168).

339697152 is an abundant number, since it is smaller than the sum of its proper divisors (674333184).

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

339697152 is an frugal number, since it uses more digits than its factorization.

339697152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8196 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 339697152 is about 18430.8749656656. The cubic root of 339697152 is about 697.7459139829.

The spelling of 339697152 in words is "three hundred thirty-nine million, six hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 8191 10368 13824 16382 20736 24573 32764 41472 49146 65528 73719 98292 131056 147438 196584 221157 262112 294876 393168 442314 524224 589752 663471 786336 884628 1048448 1179504 1326942 1572672 1769256 2096896 2359008 2653884 3145344 3538512 4193792 4718016 5307768 6290688 7077024 9436032 10615536 12581376 14154048 18872064 21231072 28308096 37744128 42462144 56616192 84924288 113232384 169848576 339697152