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354404360180 = 225132137765353
BaseRepresentation
bin1010010100001000010…
…01010101111111110100
31020212210001022212201002
411022010021111333310
521301310004011210
6430451111222432
734414320233333
oct5120411257764
91225701285632
10354404360180
11127336027342
1258829377a18
13275601ca100
14132207a3d1a
159343a4e4a5
hex5284255ff4

354404360180 has 72 divisors (see below), whose sum is σ = 811786496472. Its totient is φ = 129901664256.

The previous prime is 354404360137. The next prime is 354404360183. The reversal of 354404360180 is 81063404453.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 227342054416 + 127062305764 = 476804^2 + 356458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354404360183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80384 + ... + 845736.

It is an arithmetic number, because the mean of its divisors is an integer number (11274812451).

Almost surely, 2354404360180 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 354404360180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405893248236).

354404360180 is an abundant number, since it is smaller than the sum of its proper divisors (457382136292).

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

354404360180 is a wasteful number, since it uses less digits than its factorization.

354404360180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765525 (or 765510 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 354404360180 in words is "three hundred fifty-four billion, four hundred four million, three hundred sixty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 169 260 274 338 548 676 685 845 1370 1690 1781 2740 3380 3562 7124 8905 17810 23153 35620 46306 92612 115765 231530 463060 765353 1530706 3061412 3826765 7653530 9949589 15307060 19899178 39798356 49747945 99495890 104853361 129344657 198991780 209706722 258689314 419413444 517378628 524266805 646723285 1048533610 1293446570 1363093693 2097067220 2586893140 2726187386 5452374772 6815468465 13630936930 17720218009 27261873860 35440436018 70880872036 88601090045 177202180090 354404360180