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474347328 = 263713171597
BaseRepresentation
bin11100010001011…
…111011101000000
31020001120100012120
4130101133131000
51432413103303
6115022524240
714516612550
oct3421373500
91201510176
10474347328
11223836194
12112a36680
1377372ac0
1446dd9160
152b99c553
hex1c45f740

474347328 has 224 divisors, whose sum is σ = 1636556544. Its totient is φ = 117669888.

The previous prime is 474347317. The next prime is 474347347. The reversal of 474347328 is 823743474.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 474347328.

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, 296226 + ... + 297822.

It is an arithmetic number, because the mean of its divisors is an integer number (7306056).

Almost surely, 2474347328 is an apocalyptic number.

474347328 is a gapful number since it is divisible by the number (48) 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 474347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818278272).

474347328 is an abundant number, since it is smaller than the sum of its proper divisors (1162209216).

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

474347328 is a wasteful number, since it uses less digits than its factorization.

474347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 474347328 is about 21779.5162480713. The cubic root of 474347328 is about 779.8878471227.

The spelling of 474347328 in words is "four hundred seventy-four million, three hundred forty-seven thousand, three hundred twenty-eight".