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3400655856 = 2431323113523
BaseRepresentation
bin1100101010110001…
…1110001111110000
322202222221012211220
43022230132033300
523431031441411
61321235505040
7150162045363
oct31254361760
98688835756
103400655856
111495644094
127aaa58180
134226c5500
142438dc0da
1514d836b06
hexcab1e3f0

3400655856 has 120 divisors (see below), whose sum is σ = 9820371456. Its totient is φ = 1012527360.

The previous prime is 3400655837. The next prime is 3400655893. The reversal of 3400655856 is 6585560043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244711 + ... + 258233.

Almost surely, 23400655856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400655856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910185728).

3400655856 is an abundant number, since it is smaller than the sum of its proper divisors (6419715600).

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

3400655856 is a wasteful number, since it uses less digits than its factorization.

3400655856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13591 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 3400655856 is about 58315.1425960702. The cubic root of 3400655856 is about 1503.7912769616.

The spelling of 3400655856 in words is "three billion, four hundred million, six hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 208 248 312 338 372 403 496 507 624 676 744 806 1014 1209 1352 1488 1612 2028 2418 2704 3224 4056 4836 5239 6448 8112 9672 10478 13523 15717 19344 20956 27046 31434 40569 41912 54092 62868 81138 83824 108184 125736 162276 175799 216368 251472 324552 351598 419213 527397 649104 703196 838426 1054794 1257639 1406392 1676852 2109588 2285387 2515278 2812784 3353704 4219176 4570774 5030556 5449769 6707408 6856161 8438352 9141548 10061112 10899538 13712322 16349307 18283096 20122224 21799076 27424644 32698614 36566192 43598152 54849288 65397228 70846997 87196304 109698576 130794456 141693994 212540991 261588912 283387988 425081982 566775976 850163964 1133551952 1700327928 3400655856