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744424164 = 2232112337472
BaseRepresentation
bin101100010111110…
…000001011100100
31220212202122222100
4230113300023210
53011033033124
6201511332100
724306333561
oct5427601344
91825678870
10744424164
11352231990
12189381030
13bb2c4893
1470c1d868
154554a1c9
hex2c5f02e4

744424164 has 216 divisors, whose sum is σ = 2247755328. Its totient is φ = 205476480.

The previous prime is 744424151. The next prime is 744424267. The reversal of 744424164 is 461424447.

744424164 is a `hidden beast` number, since 74 + 4 + 424 + 164 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15838789 + ... + 15838835.

Almost surely, 2744424164 is an apocalyptic number.

744424164 is a gapful number since it is divisible by the number (74) 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 744424164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123877664).

744424164 is an abundant number, since it is smaller than the sum of its proper divisors (1503331164).

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

744424164 is a wasteful number, since it uses less digits than its factorization.

744424164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 123 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 744424164 is about 27284.1375894493. The cubic root of 744424164 is about 906.3031454905.

It can be divided in two parts, 74442 and 4164, that added together give a triangular number (78606 = T396).

The spelling of 744424164 in words is "seven hundred forty-four million, four hundred twenty-four thousand, one hundred sixty-four".