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354233484 = 2232114371293
BaseRepresentation
bin10101000111010…
…010110010001100
3220200112220222200
4111013102302030
51211140432414
655052241500
711530635453
oct2507226214
9820486880
10354233484
11171a56950
129a770290
1358509117
143508db9a
1521173109
hex151d2c8c

354233484 has 144 divisors (see below), whose sum is σ = 1017080064. Its totient is φ = 103017600.

The previous prime is 354233483. The next prime is 354233491. The reversal of 354233484 is 484332453.

354233484 is a `hidden beast` number, since 3 + 542 + 3 + 34 + 84 = 666.

It is a super-3 number, since 3×3542334843 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (354233483) 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 47 ways as a sum of consecutive naturals, for example, 1208842 + ... + 1209134.

It is an arithmetic number, because the mean of its divisors is an integer number (7063056).

Almost surely, 2354233484 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 354233484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508540032).

354233484 is an abundant number, since it is smaller than the sum of its proper divisors (662846580).

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

354233484 is a wasteful number, since it uses less digits than its factorization.

354233484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 354233484 is about 18821.0914667561. The cubic root of 354233484 is about 707.5598863849.

The spelling of 354233484 in words is "three hundred fifty-four million, two hundred thirty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 71 86 99 129 132 142 172 198 213 258 284 293 387 396 426 473 516 586 639 774 781 852 879 946 1172 1278 1419 1548 1562 1758 1892 2343 2556 2637 2838 3053 3124 3223 3516 4257 4686 5274 5676 6106 6446 7029 8514 9159 9372 9669 10548 12212 12599 12892 14058 17028 18318 19338 20803 25198 27477 28116 29007 33583 36636 37797 38676 41606 50396 54954 58014 62409 67166 75594 83212 100749 109908 113391 116028 124818 134332 138589 151188 187227 201498 226782 228833 249636 277178 302247 374454 402996 415767 453564 457666 554356 604494 686499 748908 831534 894529 915332 1208988 1247301 1372998 1663068 1789058 2059497 2494602 2683587 2745996 3578116 4118994 4989204 5367174 8050761 8237988 9839819 10734348 16101522 19679638 29519457 32203044 39359276 59038914 88558371 118077828 177116742 354233484