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3402683568 = 2432431274327
BaseRepresentation
bin1100101011010000…
…1101010010110000
322210010202020100100
43022310031102300
523432041333233
61321351152400
7150215222154
oct31264152260
98703666310
103402683568
1114967a9589
127ab675700
13422c5543b
14243ca9064
1514dad7813
hexcad0d4b0

3402683568 has 120 divisors (see below), whose sum is σ = 9823244288. Its totient is φ = 1098873216.

The previous prime is 3402683563. The next prime is 3402683621. The reversal of 3402683568 is 8653862043.

It is a happy number.

3402683568 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 6 + 83 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (3402683561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784221 + ... + 788547.

Almost surely, 23402683568 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 3402683568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911622144).

3402683568 is an abundant number, since it is smaller than the sum of its proper divisors (6420560720).

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

3402683568 is a wasteful number, since it uses less digits than its factorization.

3402683568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3402683568 is about 58332.5258153631. The cubic root of 3402683568 is about 1504.0901065488.

The spelling of 3402683568 in words is "three billion, four hundred two million, six hundred eighty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 127 129 144 172 254 258 344 381 387 508 516 688 762 774 1016 1032 1143 1524 1548 2032 2064 2286 3048 3096 4327 4572 5461 6096 6192 8654 9144 10922 12981 16383 17308 18288 21844 25962 32766 34616 38943 43688 49149 51924 65532 69232 77886 87376 98298 103848 131064 155772 186061 196596 207696 262128 311544 372122 393192 549529 558183 623088 744244 786384 1099058 1116366 1488488 1648587 1674549 2198116 2232732 2976976 3297174 3349098 4396232 4465464 4945761 6594348 6698196 8792464 8930928 9891522 13188696 13396392 19783044 23629747 26377392 26792784 39566088 47259494 70889241 79132176 94518988 141778482 189037976 212667723 283556964 378075952 425335446 567113928 850670892 1134227856 1701341784 3402683568