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346093809690 = 235157118162219
BaseRepresentation
bin1010000100101001100…
…11000111000000011010
31020002022212120011121210
411002110303013000122
521132300003402230
6422554315243550
734001345562216
oct5022463070032
91202285504553
10346093809690
11123860a297a2
12570aa1495b6
1326837533c05
1412a72b7b946
15900915deb0
hex5094cc701a

346093809690 has 64 divisors (see below), whose sum is σ = 836636999040. Its totient is φ = 91624715520.

The previous prime is 346093809653. The next prime is 346093809703. The reversal of 346093809690 is 96908390643.

346093809690 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3460938096902 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346093809690.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5531401 + ... + 5593619.

It is an arithmetic number, because the mean of its divisors is an integer number (13072453110).

Almost surely, 2346093809690 is an apocalyptic number.

346093809690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

346093809690 is an abundant number, since it is smaller than the sum of its proper divisors (490543189350).

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

346093809690 is a wasteful number, since it uses less digits than its factorization.

346093809690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63567.

The product of its (nonzero) digits is 7558272, while the sum is 57.

The spelling of 346093809690 in words is "three hundred forty-six billion, ninety-three million, eight hundred nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 157 314 471 785 942 1181 1570 2355 2362 3543 4710 5905 7086 11810 17715 35430 62219 124438 185417 186657 311095 370834 373314 556251 622190 927085 933285 1112502 1854170 1866570 2781255 5562510 9768383 19536766 29305149 48841915 58610298 73480639 97683830 146525745 146961278 220441917 293051490 367403195 440883834 734806390 1102209585 2204419170 11536460323 23072920646 34609380969 57682301615 69218761938 115364603230 173046904845 346093809690