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1014389376 = 273721113229
BaseRepresentation
bin111100011101100…
…101101010000000
32121200202022121220
4330131211222000
54034140430001
6244353515040
734065111300
oct7435455200
92550668556
101014389376
11480661830
12243872a80
13132207900
1498a15600
155e0c4c36
hex3c765a80

1014389376 has 576 divisors, whose sum is σ = 3830263200. Its totient is φ = 234823680.

The previous prime is 1014389351. The next prime is 1014389377. The reversal of 1014389376 is 6739834101.

It is a super-2 number, since 2×10143893762 = 2057971612283338752, which contains 22 as substring.

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 (1014389377) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34978930 + ... + 34978958.

Almost surely, 21014389376 is an apocalyptic number.

1014389376 is a gapful number since it is divisible by the number (16) 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 1014389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915131600).

1014389376 is an abundant number, since it is smaller than the sum of its proper divisors (2815873824).

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

1014389376 is a wasteful number, since it uses less digits than its factorization.

1014389376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1014389376 is about 31849.4799957550. The cubic root of 1014389376 is about 1004.7736348174.

The spelling of 1014389376 in words is "one billion, fourteen million, three hundred eighty-nine thousand, three hundred seventy-six".