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1424474100 = 223452723797
BaseRepresentation
bin101010011100111…
…1011111111110100
310200021101210010000
41110321323333310
510404131132400
6353203231300
750204554500
oct12471737764
93607353100
101424474100
11671095525
12339078530
1319916a4aa
14d7283300
15850cb600
hex54e7bff4

1424474100 has 540 divisors, whose sum is σ = 5573520876. Its totient is φ = 313528320.

The previous prime is 1424474083. The next prime is 1424474123. The reversal of 1424474100 is 14744241.

1424474100 is a `hidden beast` number, since 1 + 4 + 244 + 7 + 410 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5143824 + 1419330276 = 2268^2 + 37674^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 14685252 + ... + 14685348.

Almost surely, 21424474100 is an apocalyptic number.

1424474100 is a gapful number since it is divisible by the number (10) 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 1424474100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786760438).

1424474100 is an abundant number, since it is smaller than the sum of its proper divisors (4149046776).

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

1424474100 is a wasteful number, since it uses less digits than its factorization.

1424474100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1424474100 is about 37742.2058178904. The cubic root of 1424474100 is about 1125.1701076106.

The spelling of 1424474100 in words is "one billion, four hundred twenty-four million, four hundred seventy-four thousand, one hundred".