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354054444 = 223177512311
BaseRepresentation
bin10101000110100…
…111000100101100
3220200012211101120
4111012213010230
51211114220234
655044340540
711526261462
oct2506470454
9820184346
10354054444
11171944387
129a6a4750
1358475793
1435044832
152113a049
hex151a712c

354054444 has 48 divisors (see below), whose sum is σ = 876266496. Its totient is φ = 110880000.

The previous prime is 354054439. The next prime is 354054487. The reversal of 354054444 is 444450453.

It is a happy number.

354054444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3540544442 = 250709098632298272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152049 + ... + 154359.

It is an arithmetic number, because the mean of its divisors is an integer number (18255552).

Almost surely, 2354054444 is an apocalyptic number.

354054444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

354054444 is an abundant number, since it is smaller than the sum of its proper divisors (522212052).

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

354054444 is a wasteful number, since it uses less digits than its factorization.

354054444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The square root of 354054444 is about 18816.3344995778. The cubic root of 354054444 is about 707.4406591175.

The spelling of 354054444 in words is "three hundred fifty-four million, fifty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 751 1502 2253 2311 3004 4506 4622 6933 9012 9244 12767 13866 25534 27732 38301 39287 51068 76602 78574 117861 153204 157148 235722 471444 1735561 3471122 5206683 6942244 10413366 20826732 29504537 59009074 88513611 118018148 177027222 354054444