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3402430304 = 2571310691093
BaseRepresentation
bin1100101011001100…
…1111011101100000
322210010021100221012
43022303033131200
523432010232204
61321341520052
7150213115610
oct31263173540
98703240835
103402430304
111496646279
127ab573028
13422b97090
14243c40a40
1514da8776e
hexcaccf760

3402430304 has 96 divisors (see below), whose sum is σ = 8259612480. Its totient is φ = 1343526912.

The previous prime is 3402430277. The next prime is 3402430331. The reversal of 3402430304 is 4030342043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3402430277) and next prime (3402430331).

It is a self number, because there is not a number n which added to its sum of digits gives 3402430304.

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 15 ways as a sum of consecutive naturals, for example, 3112382 + ... + 3113474.

It is an arithmetic number, because the mean of its divisors is an integer number (86037630).

Almost surely, 23402430304 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 3402430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129806240).

3402430304 is an abundant number, since it is smaller than the sum of its proper divisors (4857182176).

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

3402430304 is a wasteful number, since it uses less digits than its factorization.

3402430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3402430304 is about 58330.3549106295. The cubic root of 3402430304 is about 1504.0527888141.

Adding to 3402430304 its reverse (4030342043), we get a palindrome (7432772347).

The spelling of 3402430304 in words is "three billion, four hundred two million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1069 1093 1456 2138 2186 2912 4276 4372 7483 7651 8552 8744 13897 14209 14966 15302 17104 17488 27794 28418 29932 30604 34208 34976 55588 56836 59864 61208 97279 99463 111176 113672 119728 122416 194558 198926 222352 227344 239456 244832 389116 397852 444704 454688 778232 795704 1168417 1556464 1591408 2336834 3112928 3182816 4673668 8178919 9347336 15189421 16357838 18694672 30378842 32715676 37389344 60757684 65431352 106325947 121515368 130862704 212651894 243030736 261725408 425303788 486061472 850607576 1701215152 3402430304