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3285642420 = 2233541148403
BaseRepresentation
bin1100001111010110…
…1110110010110100
322110222111221002000
43003311232302310
523212111024140
61302010415300
7144264333264
oct30365566264
98428457060
103285642420
111436728865
12778431530
13404926218
1423251d7a4
151436b8a30
hexc3d6ecb4

3285642420 has 96 divisors (see below), whose sum is σ = 10471386240. Its totient is φ = 854795520.

The previous prime is 3285642407. The next prime is 3285642443. The reversal of 3285642420 is 242465823.

3285642420 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 642 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×32856424202 = 21590892224206912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52062 + ... + 96341.

It is an arithmetic number, because the mean of its divisors is an integer number (109076940).

Almost surely, 23285642420 is an apocalyptic number.

3285642420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3285642420 is an abundant number, since it is smaller than the sum of its proper divisors (7185743820).

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

3285642420 is a wasteful number, since it uses less digits than its factorization.

3285642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148462 (or 148454 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3285642420 is about 57320.5235495978. The cubic root of 3285642420 is about 1486.6432579806.

The spelling of 3285642420 in words is "three billion, two hundred eighty-five million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 148403 296806 445209 593612 742015 890418 1335627 1484030 1780836 2226045 2671254 2968060 4006881 4452090 5342508 6084523 6678135 8013762 8904180 12169046 13356270 16027524 18253569 20034405 24338092 26712540 30422615 36507138 40068810 54760707 60845230 73014276 80137620 91267845 109521414 121690460 164282121 182535690 219042828 273803535 328564242 365071380 547607070 657128484 821410605 1095214140 1642821210 3285642420