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339750040 = 23576071999
BaseRepresentation
bin10100010000000…
…010110010011000
3212200022002102211
4110100002302120
51143434000130
653414004504
711263553620
oct2420026230
9780262384
10339750040
11164864263
1295946734
1355507936
143319d880
151ec61a2a
hex14402c98

339750040 has 64 divisors (see below), whose sum is σ = 875520000. Its totient is φ = 116235648.

The previous prime is 339750013. The next prime is 339750091. The reversal of 339750040 is 40057933.

It is a junction number, because it is equal to n+sod(n) for n = 339749984 and 339750011.

It is a congruent number.

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, 168961 + ... + 170959.

It is an arithmetic number, because the mean of its divisors is an integer number (13680000).

Almost surely, 2339750040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339750040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437760000).

339750040 is an abundant number, since it is smaller than the sum of its proper divisors (535769960).

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

339750040 is a wasteful number, since it uses less digits than its factorization.

339750040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 339750040 is about 18432.3096762180. The cubic root of 339750040 is about 697.7821231678.

The spelling of 339750040 in words is "three hundred thirty-nine million, seven hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 607 1214 1999 2428 3035 3998 4249 4856 6070 7996 8498 9995 12140 13993 15992 16996 19990 21245 24280 27986 33992 39980 42490 55972 69965 79960 84980 111944 139930 169960 279860 559720 1213393 2426786 4853572 6066965 8493751 9707144 12133930 16987502 24267860 33975004 42468755 48535720 67950008 84937510 169875020 339750040