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354290445840 = 243511313063807
BaseRepresentation
bin1010010011111010101…
…10110010111000010000
31020212111002222102121110
411021331112302320100
521301041323231330
6430431521453320
734411435046502
oct5117526627020
91225432872543
10354290445840
111272877a1861
12587b71a1240
1327542724186
141320d5cdd72
159338a4bdb0
hex527d5b2e10

354290445840 has 80 divisors (see below), whose sum is σ = 1108019939328. Its totient is φ = 93641361408.

The previous prime is 354290445827. The next prime is 354290445863. The reversal of 354290445840 is 48544092453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 354290445840.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6504784 + ... + 6559023.

Almost surely, 2354290445840 is an apocalyptic number.

354290445840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354290445840 is an abundant number, since it is smaller than the sum of its proper divisors (753729493488).

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

354290445840 is a wasteful number, since it uses less digits than its factorization.

354290445840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13063936 (or 13063930 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 354290445840 in words is "three hundred fifty-four billion, two hundred ninety million, four hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 13063807 26127614 39191421 52255228 65319035 78382842 104510456 130638070 156765684 195957105 209020912 261276140 313531368 391914210 522552280 627062736 783828420 1045104560 1476210191 1567656840 2952420382 3135313680 4428630573 5904840764 7381050955 8857261146 11809681528 14762101910 17714522292 22143152865 23619363056 29524203820 35429044584 44286305730 59048407640 70858089168 88572611460 118096815280 177145222920 354290445840