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1000998432 = 253371931281
BaseRepresentation
bin111011101010100…
…000011000100000
32120202112222201000
4323222200120200
54022223422212
6243154512000
733543226530
oct7352403040
92522488630
101000998432
11474045a35
1223b295600
1312c4c9785
1496d2b4c0
155cd2c1dc
hex3baa0620

1000998432 has 384 divisors, whose sum is σ = 3638476800. Its totient is φ = 261273600.

The previous prime is 1000998421. The next prime is 1000998443. The reversal of 1000998432 is 2348990001.

It is an interprime number because it is at equal distance from previous prime (1000998421) and next prime (1000998443).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3562132 + ... + 3562412.

It is an arithmetic number, because the mean of its divisors is an integer number (9475200).

Almost surely, 21000998432 is an apocalyptic number.

1000998432 is a gapful number since it is divisible by the number (12) 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 1000998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819238400).

1000998432 is an abundant number, since it is smaller than the sum of its proper divisors (2637478368).

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

1000998432 is a wasteful number, since it uses less digits than its factorization.

1000998432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1000998432 is about 31638.5592592330. The cubic root of 1000998432 is about 1000.3326999651.

The spelling of 1000998432 in words is "one billion, nine hundred ninety-eight thousand, four hundred thirty-two".