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354012444 = 22343313301
BaseRepresentation
bin10101000110011…
…100110100011100
3220200010200210000
4111012130310130
51211111344234
655043414300
711526025152
oct2506346434
9820120700
10354012444
11171915875
129a684390
135845c626
14350333d2
152112c899
hex1519cd1c

354012444 has 60 divisors (see below), whose sum is σ = 928535608. Its totient is φ = 117612000.

The previous prime is 354012433. The next prime is 354012487. The reversal of 354012444 is 444210453.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 105594 + ... + 108894.

Almost surely, 2354012444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354012444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464267804).

354012444 is an abundant number, since it is smaller than the sum of its proper divisors (574523164).

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

354012444 is a wasteful number, since it uses less digits than its factorization.

354012444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 354012444 is about 18815.2184148896. The cubic root of 354012444 is about 707.4126844344.

Adding to 354012444 its reverse (444210453), we get a palindrome (798222897).

The spelling of 354012444 in words is "three hundred fifty-four million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 331 662 993 1324 1986 2979 3301 3972 5958 6602 8937 9903 11916 13204 17874 19806 26811 29709 35748 39612 53622 59418 89127 107244 118836 178254 267381 356508 534762 1069524 1092631 2185262 3277893 4370524 6555786 9833679 13111572 19667358 29501037 39334716 59002074 88503111 118004148 177006222 354012444