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1038740388 = 22371492557
BaseRepresentation
bin111101111010011…
…110101110100100
32200101120110221020
4331322132232210
54111404143023
6251023451140
734512101430
oct7572365644
92611513836
101038740388
11493384034
1224ba56ab0
131372825aa
149bd539c0
15612d4de3
hex3de9eba4

1038740388 has 72 divisors (see below), whose sum is σ = 2793696192. Its totient is φ = 294261888.

The previous prime is 1038740383. The next prime is 1038740389. The reversal of 1038740388 is 8830478301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1038740383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864606 + ... + 1865162.

It is an arithmetic number, because the mean of its divisors is an integer number (38801336).

Almost surely, 21038740388 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 1038740388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396848096).

1038740388 is an abundant number, since it is smaller than the sum of its proper divisors (1754955804).

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

1038740388 is a wasteful number, since it uses less digits than its factorization.

1038740388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1038740388 is about 32229.4956212473. The cubic root of 1038740388 is about 1012.7502040398.

The spelling of 1038740388 in words is "one billion, thirty-eight million, seven hundred forty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 557 596 894 1043 1114 1671 1788 2086 2228 3129 3342 3899 4172 6258 6684 7798 11697 12516 15596 22201 23394 44402 46788 66603 82993 88804 133206 155407 165986 248979 266412 310814 331972 466221 497958 580951 621628 932442 995916 1161902 1742853 1864884 2323804 3485706 6971412 12365957 24731914 37097871 49463828 74195742 86561699 148391484 173123398 259685097 346246796 519370194 1038740388