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354022002 = 23419711093
BaseRepresentation
bin10101000110011…
…111001001110010
3220200011011220000
4111012133021302
51211112201002
655043530430
711526065055
oct2506371162
9820134800
10354022002
11171921a74
129a689a16
1358463a99
1435036a9c
152113061c
hex1519f272

354022002 has 40 divisors (see below), whose sum is σ = 797370156. Its totient is φ = 117397728.

The previous prime is 354021977. The next prime is 354022013. The reversal of 354022002 is 200220453.

It can be written as a sum of positive squares in 2 ways, for example, as 271557441 + 82464561 = 16479^2 + 9081^2 .

It is a super-3 number, since 3×3540220023 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26368 + ... + 37460.

Almost surely, 2354022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398685078).

354022002 is an abundant number, since it is smaller than the sum of its proper divisors (443348154).

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

354022002 is a wasteful number, since it uses less digits than its factorization.

354022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 354022002 is about 18815.4724096952. The cubic root of 354022002 is about 707.4190508674.

Adding to 354022002 its reverse (200220453), we get a palindrome (554242455).

The spelling of 354022002 in words is "three hundred fifty-four million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 394 591 1182 1773 3546 5319 10638 11093 15957 22186 31914 33279 66558 99837 199674 299511 599022 898533 1797066 2185321 4370642 6555963 13111926 19667889 39335778 59003667 118007334 177011001 354022002