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38340548352 = 283258728349
BaseRepresentation
bin100011101101010001…
…100101011100000000
310122222000111122210100
4203231101211130000
51112010140021402
625340255002400
72525054166231
oct435521453400
9118860448710
1038340548352
11152952704a7
127520209400
133800332302
141bda03d088
15ee5e9271c
hex8ed465700

38340548352 has 108 divisors (see below), whose sum is σ = 110737481400. Its totient is φ = 12757960704.

The previous prime is 38340548327. The next prime is 38340548359. The reversal of 38340548352 is 25384504383.

38340548352 is a `hidden beast` number, since 3 + 83 + 40 + 5 + 483 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38340548298 and 38340548307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38340548359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338274 + ... + 1366622.

It is an arithmetic number, because the mean of its divisors is an integer number (1025347050).

Almost surely, 238340548352 is an apocalyptic number.

38340548352 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 38340548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55368740700).

38340548352 is an abundant number, since it is smaller than the sum of its proper divisors (72396933048).

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

38340548352 is a wasteful number, since it uses less digits than its factorization.

38340548352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28958 (or 28941 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 38340548352 in words is "thirty-eight billion, three hundred forty million, five hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 587 768 1152 1174 1761 2304 2348 3522 4696 5283 7044 9392 10566 14088 18784 21132 28176 28349 37568 42264 56352 56698 75136 84528 85047 112704 113396 150272 169056 170094 225408 226792 255141 338112 340188 450816 453584 510282 676224 680376 907168 1020564 1352448 1360752 1814336 2041128 2721504 3628672 4082256 5443008 7257344 8164512 10886016 16329024 16640863 21772032 32658048 33281726 49922589 65316096 66563452 99845178 133126904 149767767 199690356 266253808 299535534 399380712 532507616 599071068 798761424 1065015232 1198142136 1597522848 2130030464 2396284272 3195045696 4260060928 4792568544 6390091392 9585137088 12780182784 19170274176 38340548352