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339400040 = 235719131487
BaseRepresentation
bin10100001110101…
…101010101101000
3212122122022022212
4110032231111220
51143341300130
653402304252
711260565330
oct2416552550
9778568285
10339400040
11164645301
12957b8088
1355414535
143310c0c0
151ebe2e95
hex143ad568

339400040 has 128 divisors (see below), whose sum is σ = 927590400. Its totient is φ = 109175040.

The previous prime is 339400013. The next prime is 339400043. The reversal of 339400040 is 40004933.

It is a junction number, because it is equal to n+sod(n) for n = 339399979 and 339400015.

It is not an unprimeable number, because it can be changed into a prime (339400043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696677 + ... + 697163.

It is an arithmetic number, because the mean of its divisors is an integer number (7246800).

Almost surely, 2339400040 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 339400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463795200).

339400040 is an abundant number, since it is smaller than the sum of its proper divisors (588190360).

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

339400040 is a wasteful number, since it uses less digits than its factorization.

339400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 339400040 is about 18422.8130316735. The cubic root of 339400040 is about 697.5424296419.

Adding to 339400040 its reverse (40004933), we get a palindrome (379404973).

The spelling of 339400040 in words is "three hundred thirty-nine million, four hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 131 133 140 152 190 262 266 280 380 487 524 532 655 665 760 917 974 1048 1064 1310 1330 1834 1948 2435 2489 2620 2660 3409 3668 3896 4585 4870 4978 5240 5320 6818 7336 9170 9253 9740 9956 12445 13636 17045 17423 18340 18506 19480 19912 24890 27272 34090 34846 36680 37012 46265 49780 63797 64771 68180 69692 74024 87115 92530 99560 127594 129542 136360 139384 174230 185060 255188 259084 318985 323855 348460 370120 446579 510376 518168 637970 647710 696920 893158 1212143 1275940 1295420 1786316 2232895 2424286 2551880 2590840 3572632 4465790 4848572 6060715 8485001 8931580 9697144 12121430 16970002 17863160 24242860 33940004 42425005 48485720 67880008 84850010 169700020 339400040