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338069376 = 27363623
BaseRepresentation
bin10100001001101…
…000011110000000
3212120010201000000
4110021220132000
51143021210001
653314000000
711243354001
oct2411503600
9776121000
10338069376
11163916587
1295276000
1355069968
1432c831a8
151ea2da86
hex14268780

338069376 has 112 divisors (see below), whose sum is σ = 1010063160. Its totient is φ = 112658688.

The previous prime is 338069363. The next prime is 338069383. The reversal of 338069376 is 673960833.

It is a happy number.

It is a super-2 number, since 2×3380693762 = 228581805978058752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 91501 + ... + 95123.

Almost surely, 2338069376 is an apocalyptic number.

338069376 is a gapful number since it is divisible by the number (36) 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 338069376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505031580).

338069376 is an abundant number, since it is smaller than the sum of its proper divisors (671993784).

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

338069376 is an frugal number, since it uses more digits than its factorization.

338069376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 338069376 is about 18386.6629925063. The cubic root of 338069376 is about 696.6296323753.

The spelling of 338069376 in words is "three hundred thirty-eight million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3623 3888 5184 5832 7246 7776 10368 10869 11664 14492 15552 21738 23328 28984 31104 32607 43476 46656 57968 65214 86952 93312 97821 115936 130428 173904 195642 231872 260856 293463 347808 391284 463744 521712 586926 695616 782568 880389 1043424 1173852 1391232 1565136 1760778 2086848 2347704 2641167 3130272 3521556 4173696 4695408 5282334 6260544 7043112 9390816 10564668 12521088 14086224 18781632 21129336 28172448 37563264 42258672 56344896 84517344 112689792 169034688 338069376