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3465426240 = 26345133697
BaseRepresentation
bin1100111010001110…
…0011010101000000
322221111210220010000
43032203203111000
524044122114430
61331512040000
7151606431333
oct31643432500
98844726100
103465426240
111519163031
12808693000
13432c52893
1424c35c61a
1515437ce60
hexce8e3540

3465426240 has 140 divisors (see below), whose sum is σ = 12327222996. Its totient is φ = 924106752.

The previous prime is 3465426221. The next prime is 3465426277. The reversal of 3465426240 is 426245643.

3465426240 is a `hidden beast` number, since 346 + 54 + 26 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 649638144 + 2815788096 = 25488^2 + 53064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3465426195 and 3465426204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40929 + ... + 92768.

Almost surely, 23465426240 is an apocalyptic number.

3465426240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3465426240 is an abundant number, since it is smaller than the sum of its proper divisors (8861796756).

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

3465426240 is a wasteful number, since it uses less digits than its factorization.

3465426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133726 (or 133707 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3465426240 is about 58867.8710333574. The cubic root of 3465426240 is about 1513.2785859128.

The spelling of 3465426240 in words is "three billion, four hundred sixty-five million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 133697 267394 401091 534788 668485 802182 1069576 1203273 1336970 1604364 2005455 2139152 2406546 2673940 3208728 3609819 4010910 4278304 4813092 5347880 6016365 6417456 7219638 8021820 8556608 9626184 10695760 10829457 12032730 12834912 14439276 16043640 18049095 19252368 21391520 21658914 24065460 25669824 28878552 32087280 36098190 38504736 42783040 43317828 48130920 54147285 57757104 64174560 72196380 77009472 86635656 96261840 108294570 115514208 128349120 144392760 173271312 192523680 216589140 231028416 288785520 346542624 385047360 433178280 577571040 693085248 866356560 1155142080 1732713120 3465426240