Search a number
-
+
354057312 = 2537526871
BaseRepresentation
bin10101000110100…
…111110001100000
3220200012222022210
4111012213301200
51211114313222
655044402120
711526303030
oct2506476140
9820188283
10354057312
11171946554
129a6a6340
1358476b8b
14350458c0
152113ad0c
hex151a7c60

354057312 has 48 divisors (see below), whose sum is σ = 1062173952. Its totient is φ = 101159040.

The previous prime is 354057311. The next prime is 354057349. The reversal of 354057312 is 213750453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 354057312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354057311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 262764 + ... + 264107.

It is an arithmetic number, because the mean of its divisors is an integer number (22128624).

Almost surely, 2354057312 is an apocalyptic number.

354057312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

354057312 is an abundant number, since it is smaller than the sum of its proper divisors (708116640).

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

354057312 is a wasteful number, since it uses less digits than its factorization.

354057312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526891 (or 526883 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 354057312 is about 18816.4107098033. The cubic root of 354057312 is about 707.4425693080.

The spelling of 354057312 in words is "three hundred fifty-four million, fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 526871 1053742 1580613 2107484 3161226 3688097 4214968 6322452 7376194 8429936 11064291 12644904 14752388 16859872 22128582 25289808 29504776 44257164 50579616 59009552 88514328 118019104 177028656 354057312