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1034976390 = 235728117539
BaseRepresentation
bin111101101100000…
…111110010000110
32200010111020200220
4331230013302012
54104423221030
6250411045210
734435103610
oct7554076206
92603436626
101034976390
11491243098
1224a740806
13136565286
149b653db0
1560cdea10
hex3db07c86

1034976390 has 64 divisors (see below), whose sum is σ = 2849057280. Its totient is φ = 235710720.

The previous prime is 1034976359. The next prime is 1034976401. The reversal of 1034976390 is 936794301.

It is a super-2 number, since 2×10349763902 = 2142352255714864200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50241 + ... + 67779.

It is an arithmetic number, because the mean of its divisors is an integer number (44516520).

Almost surely, 21034976390 is an apocalyptic number.

1034976390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034976390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424528640).

1034976390 is an abundant number, since it is smaller than the sum of its proper divisors (1814080890).

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

1034976390 is a wasteful number, since it uses less digits than its factorization.

1034976390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17837.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 1034976390 is about 32171.0489415561. The cubic root of 1034976390 is about 1011.5254503298.

The spelling of 1034976390 in words is "one billion, thirty-four million, nine hundred seventy-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 281 562 843 1405 1686 1967 2810 3934 4215 5901 8430 9835 11802 17539 19670 29505 35078 52617 59010 87695 105234 122773 175390 245546 263085 368319 526170 613865 736638 1227730 1841595 3683190 4928459 9856918 14785377 24642295 29570754 34499213 49284590 68998426 73926885 103497639 147853770 172496065 206995278 344992130 517488195 1034976390