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354244100 = 225274112343
BaseRepresentation
bin10101000111010…
…101011000000100
3220200120110112212
4111013111120010
51211141302400
655052402552
711531011430
oct2507253004
9820513485
10354244100
11171a63921
129a776458
1358510bc2
14350939c0
1521176335
hex151d5604

354244100 has 72 divisors (see below), whose sum is σ = 900025728. Its totient is φ = 118483200.

The previous prime is 354244087. The next prime is 354244109. The reversal of 354244100 is 1442453.

It is a super-3 number, since 3×3542441003 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354244109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22529 + ... + 34871.

Almost surely, 2354244100 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 354244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450012864).

354244100 is an abundant number, since it is smaller than the sum of its proper divisors (545781628).

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

354244100 is a wasteful number, since it uses less digits than its factorization.

354244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12405 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 354244100 is about 18821.3734886697. The cubic root of 354244100 is about 707.5669545862.

Adding to 354244100 its reverse (1442453), we get a palindrome (355686553).

The spelling of 354244100 in words is "three hundred fifty-four million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 12343 14350 24686 28700 49372 61715 86401 123430 172802 246860 308575 345604 432005 506063 617150 864010 1012126 1234300 1728020 2024252 2160025 2530315 3542441 4320050 5060630 7084882 8640100 10121260 12651575 14169764 17712205 25303150 35424410 50606300 70848820 88561025 177122050 354244100