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354041478 = 232719413607
BaseRepresentation
bin10101000110100…
…011111010000110
3220200012011121100
4111012203322012
51211113311403
655044200530
711526205620
oct2506437206
9820164540
10354041478
1117193566a
129a699146
135846c8cb
143503dc10
15211362a3
hex151a3e86

354041478 has 96 divisors (see below), whose sum is σ = 945584640. Its totient is φ = 93467520.

The previous prime is 354041449. The next prime is 354041521. The reversal of 354041478 is 874140453.

354041478 is a `hidden beast` number, since 3 + 540 + 41 + 4 + 78 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96351 + ... + 99957.

It is an arithmetic number, because the mean of its divisors is an integer number (9849840).

Almost surely, 2354041478 is an apocalyptic number.

354041478 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354041478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472792320).

354041478 is an abundant number, since it is smaller than the sum of its proper divisors (591543162).

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

354041478 is a wasteful number, since it uses less digits than its factorization.

354041478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 354041478 is about 18815.9899553545. The cubic root of 354041478 is about 707.4320231693.

The spelling of 354041478 in words is "three hundred fifty-four million, forty-one thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 41 42 57 63 82 114 123 126 133 171 246 266 287 342 369 399 574 738 779 798 861 1197 1558 1722 2337 2394 2583 3607 4674 5166 5453 7011 7214 10821 10906 14022 16359 21642 25249 32463 32718 49077 50498 64926 68533 75747 98154 137066 147887 151494 205599 227241 295774 411198 443661 454482 479731 616797 887322 959462 1035209 1233594 1330983 1439193 2070418 2661966 2809853 2878386 3105627 4317579 5619706 6211254 8429559 8635158 9316881 16859118 18633762 19668971 25288677 39337942 50577354 59006913 118013826 177020739 354041478