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1038274328 = 237213732791
BaseRepresentation
bin111101111000101…
…100111100011000
32200100200210121202
4331320230330120
54111244234303
6251005453332
734505120600
oct7570547430
92610623552
101038274328
11493095963
1224b871248
1313714b410
149bc71c00
1561241c88
hex3de2cf18

1038274328 has 96 divisors (see below), whose sum is σ = 2473097760. Its totient is φ = 404974080.

The previous prime is 1038274313. The next prime is 1038274333. The reversal of 1038274328 is 8234728301.

It is a junction number, because it is equal to n+sod(n) for n = 1038274291 and 1038274300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370613 + ... + 373403.

It is an arithmetic number, because the mean of its divisors is an integer number (25761435).

Almost surely, 21038274328 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 1038274328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236548880).

1038274328 is an abundant number, since it is smaller than the sum of its proper divisors (1434823432).

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

1038274328 is a wasteful number, since it uses less digits than its factorization.

1038274328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 1038274328 is about 32222.2644766006. The cubic root of 1038274328 is about 1012.5987151226.

The spelling of 1038274328 in words is "one billion, thirty-eight million, two hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 146 182 196 292 364 392 511 584 637 728 949 1022 1274 1898 2044 2548 2791 3577 3796 4088 5096 5582 6643 7154 7592 11164 13286 14308 19537 22328 26572 28616 36283 39074 46501 53144 72566 78148 93002 136759 145132 156296 186004 203743 253981 273518 290264 372008 407486 507962 547036 814972 1015924 1094072 1426201 1629944 1777867 2031848 2648659 2852402 3555734 5297318 5704804 7111468 9983407 10594636 11409608 14222936 18540613 19966814 21189272 37081226 39933628 74162452 79867256 129784291 148324904 259568582 519137164 1038274328