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3428635424 = 251914937847
BaseRepresentation
bin1100110001011100…
…1101001100100000
322211221120201121012
43030113031030200
524010212313144
61324115320052
7150651630434
oct31427151440
98757521535
103428635424
1114aa4145a5
127b82b0028
13428440976
142475029c4
15151011e9e
hexcc5cd320

3428635424 has 48 divisors (see below), whose sum is σ = 7153272000. Its totient is φ = 1613147904.

The previous prime is 3428635409. The next prime is 3428635489. The reversal of 3428635424 is 4245368243.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71669 + ... + 109515.

It is an arithmetic number, because the mean of its divisors is an integer number (149026500).

Almost surely, 23428635424 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 3428635424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576636000).

3428635424 is an abundant number, since it is smaller than the sum of its proper divisors (3724636576).

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

3428635424 is a wasteful number, since it uses less digits than its factorization.

3428635424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38025 (or 38017 counting only the distinct ones).

The product of its digits is 552960, while the sum is 41.

The square root of 3428635424 is about 58554.5508393669. The cubic root of 3428635424 is about 1507.9042639868.

The spelling of 3428635424 in words is "three billion, four hundred twenty-eight million, six hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 149 152 298 304 596 608 1192 2384 2831 4768 5662 11324 22648 37847 45296 75694 90592 151388 302776 605552 719093 1211104 1438186 2876372 5639203 5752744 11278406 11505488 22556812 23010976 45113624 90227248 107144857 180454496 214289714 428579428 857158856 1714317712 3428635424