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3423937920 = 273513137177
BaseRepresentation
bin1100110000010101…
…0010010110000000
322211121202001211120
43030011102112000
524003012003140
61323430512240
7150563664204
oct31405222600
98747661746
103423937920
1114a77a6267
127b6805680
13427487790
14246a3cb04
151508d51d0
hexcc152580

3423937920 has 128 divisors (see below), whose sum is σ = 11753411040. Its totient is φ = 842809344.

The previous prime is 3423937903. The next prime is 3423937943. The reversal of 3423937920 is 297393243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43629 + ... + 93548.

Almost surely, 23423937920 is an apocalyptic number.

3423937920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423937920 is an abundant number, since it is smaller than the sum of its proper divisors (8329473120).

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

3423937920 is a wasteful number, since it uses less digits than its factorization.

3423937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137212 (or 137200 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 3423937920 is about 58514.4248882273. The cubic root of 3423937920 is about 1507.2152995413.

The spelling of 3423937920 in words is "three billion, four hundred twenty-three million, nine hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 137177 274354 411531 548708 685885 823062 1097416 1371770 1646124 1783301 2057655 2194832 2743540 3292248 3566602 4115310 4389664 5349903 5487080 6584496 7133204 8230620 8779328 8916505 10699806 10974160 13168992 14266408 16461240 17558656 17833010 21399612 21948320 26337984 26749515 28532816 32922480 35666020 42799224 43896640 52675968 53499030 57065632 65844960 71332040 85598448 87793280 106998060 114131264 131689920 142664080 171196896 213996120 228262528 263379840 285328160 342393792 427992240 570656320 684787584 855984480 1141312640 1711968960 3423937920