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3428427464 = 237117970451
BaseRepresentation
bin1100110001011001…
…1010011011001000
322211221012011022222
43030112122123020
524010134134324
61324111033212
7150650103230
oct31426323310
98757164288
103428427464
1114aa292330
127b820b808
1342839a107
1424748acc0
15150ec055e
hexcc59a6c8

3428427464 has 64 divisors (see below), whose sum is σ = 8116070400. Its totient is φ = 1318824000.

The previous prime is 3428427439. The next prime is 3428427487. The reversal of 3428427464 is 4647248243.

It is a happy number.

It is a super-2 number, since 2×34284274642 = 23508229751818942592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13439 + ... + 83889.

It is an arithmetic number, because the mean of its divisors is an integer number (126813600).

Almost surely, 23428427464 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 3428427464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058035200).

3428427464 is an abundant number, since it is smaller than the sum of its proper divisors (4687642936).

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

3428427464 is a wasteful number, since it uses less digits than its factorization.

3428427464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70554 (or 70550 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 44.

The square root of 3428427464 is about 58552.7750324440. The cubic root of 3428427464 is about 1507.8737766284.

The spelling of 3428427464 in words is "three billion, four hundred twenty-eight million, four hundred twenty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 79 88 154 158 308 316 553 616 632 869 1106 1738 2212 3476 4424 6083 6952 12166 24332 48664 70451 140902 281804 493157 563608 774961 986314 1549922 1972628 3099844 3945256 5424727 5565629 6199688 10849454 11131258 21698908 22262516 38959403 43397816 44525032 61221919 77918806 122443838 155837612 244887676 311675224 428553433 489775352 857106866 1714213732 3428427464