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344897310690 = 23451972161417
BaseRepresentation
bin1010000010011010111…
…10110100111111100010
31012222020111010201120000
411001031132310333202
521122322202420230
6422235454200430
733626606525022
oct5011536647742
91188214121500
10344897310690
111232a75a4349
1256a154b3116
13266a669713a
141299bcbda82
158e890b5b60
hex504d7b4fe2

344897310690 has 80 divisors (see below), whose sum is σ = 932098543992. Its totient is φ = 91505707776.

The previous prime is 344897310679. The next prime is 344897310701. The reversal of 344897310690 is 96013798443.

It is a happy number.

344897310690 is a `hidden beast` number, since 3 + 4 + 489 + 73 + 1 + 0 + 6 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (344897310679) and next prime (344897310701).

It can be written as a sum of positive squares in 4 ways, for example, as 338308579449 + 6588731241 = 581643^2 + 81171^2 .

It is a super-2 number, since 2×3448973106902 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 921139 + ... + 1240278.

Almost surely, 2344897310690 is an apocalyptic number.

344897310690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344897310690 is an abundant number, since it is smaller than the sum of its proper divisors (587201233302).

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

344897310690 is a wasteful number, since it uses less digits than its factorization.

344897310690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161633 (or 2161624 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 344897310690 in words is "three hundred forty-four billion, eight hundred ninety-seven million, three hundred ten thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 197 270 394 405 591 810 985 1182 1773 1970 2955 3546 5319 5910 8865 10638 15957 17730 26595 31914 53190 79785 159570 2161417 4322834 6484251 10807085 12968502 19452753 21614170 32421255 38905506 58358259 64842510 97263765 116716518 175074777 194527530 291791295 350149554 425799149 583582590 851598298 875373885 1277397447 1750747770 2128995745 2554794894 3832192341 4257991490 6386987235 7664384682 11496577023 12773974470 19160961705 22993154046 34489731069 38321923410 57482885115 68979462138 114965770230 172448655345 344897310690