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354060330 = 235132413767
BaseRepresentation
bin10101000110101…
…000100000101010
3220200020010110120
4111012220200222
51211114412310
655044424110
711526314601
oct2506504052
9820203416
10354060330
11171948848
129a6a8036
1358478370
1435046a38
152113bb70
hex151a882a

354060330 has 64 divisors (see below), whose sum is σ = 919150848. Its totient is φ = 86768640.

The previous prime is 354060263. The next prime is 354060341. The reversal of 354060330 is 33060453.

It is a self number, because there is not a number n which added to its sum of digits gives 354060330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92107 + ... + 95873.

It is an arithmetic number, because the mean of its divisors is an integer number (14361732).

Almost surely, 2354060330 is an apocalyptic number.

354060330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354060330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459575424).

354060330 is an abundant number, since it is smaller than the sum of its proper divisors (565090518).

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

354060330 is a wasteful number, since it uses less digits than its factorization.

354060330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 354060330 is about 18816.4909055860. The cubic root of 354060330 is about 707.4445793928. Note that the first 3 decimals are identical.

The spelling of 354060330 in words is "three hundred fifty-four million, sixty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 241 390 482 723 1205 1446 2410 3133 3615 3767 6266 7230 7534 9399 11301 15665 18798 18835 22602 31330 37670 46995 48971 56505 93990 97942 113010 146913 244855 293826 489710 734565 907847 1469130 1815694 2723541 4539235 5447082 9078470 11802011 13617705 23604022 27235410 35406033 59010055 70812066 118020110 177030165 354060330