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3402511104 = 28317260609
BaseRepresentation
bin1100101011001110…
…0011001100000000
322210010102110202210
43022303203030000
523432020323404
61321343342120
7150213603306
oct31263431400
98703373683
103402511104
1114966a0a53
127ab5b1940
13422bc4aa5
14243c62276
1514daa1689
hexcace3300

3402511104 has 72 divisors (see below), whose sum is σ = 9588363120. Its totient is φ = 1067450368.

The previous prime is 3402511037. The next prime is 3402511111. The reversal of 3402511104 is 4011152043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117249 + ... + 143360.

It is an arithmetic number, because the mean of its divisors is an integer number (133171710).

Almost surely, 23402511104 is an apocalyptic number.

3402511104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3402511104 is an abundant number, since it is smaller than the sum of its proper divisors (6185852016).

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

3402511104 is a wasteful number, since it uses less digits than its factorization.

3402511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260645 (or 260631 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3402511104 is about 58331.0475133098. The cubic root of 3402511104 is about 1504.0646946669.

Adding to 3402511104 its reverse (4011152043), we get a palindrome (7413663147).

The spelling of 3402511104 in words is "three billion, four hundred two million, five hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 260609 521218 781827 1042436 1563654 2084872 3127308 4169744 4430353 6254616 8339488 8860706 12509232 13291059 16678976 17721412 25018464 26582118 33357952 35442824 50036928 53164236 66715904 70885648 100073856 106328472 141771296 200147712 212656944 283542592 425313888 567085184 850627776 1134170368 1701255552 3402511104