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3395347920 = 2432537127453
BaseRepresentation
bin1100101001100000…
…1110010111010000
322202121221112201200
43022120032113100
523423202113140
61320530031200
7150065660346
oct31230162720
98677845650
103395347920
111492649168
127a9118500
13421587513
14242d19996
1514d139030
hexca60e5d0

3395347920 has 120 divisors (see below), whose sum is σ = 11710983336. Its totient is φ = 880948224.

The previous prime is 3395347913. The next prime is 3395347931. The reversal of 3395347920 is 297435933.

It can be written as a sum of positive squares in 4 ways, for example, as 2202612624 + 1192735296 = 46932^2 + 34536^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37087 + ... + 90366.

Almost surely, 23395347920 is an apocalyptic number.

3395347920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3395347920 is an abundant number, since it is smaller than the sum of its proper divisors (8315635416).

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

3395347920 is a wasteful number, since it uses less digits than its factorization.

3395347920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127509 (or 127500 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3395347920 is about 58269.6140368203. The cubic root of 3395347920 is about 1503.0084687100.

The spelling of 3395347920 in words is "three billion, three hundred ninety-five million, three hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 127453 254906 382359 509812 637265 764718 1019624 1147077 1274530 1529436 1911795 2039248 2294154 2549060 3058872 3823590 4588308 4715761 5098120 5735385 6117744 7647180 9176616 9431522 10196240 11470770 14147283 15294360 18353232 18863044 22941540 23578805 28294566 30588720 37726088 42441849 45883080 47157610 56589132 70736415 75452176 84883698 91766160 94315220 113178264 141472830 169767396 188630440 212209245 226356528 282945660 339534792 377260880 424418490 565891320 679069584 848836980 1131782640 1697673960 3395347920