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3074405904 = 2432311514561
BaseRepresentation
bin1011011100111111…
…1011011000010000
321221021001000001100
42313033323120100
522244021442104
61225023104400
7136121006343
oct26717733020
97837030040
103074405904
111338470729
12719742100
1339cc365bb
1421245445a
1512ed90139
hexb73fb610

3074405904 has 120 divisors (see below), whose sum is σ = 8942395904. Its totient is φ = 984960000.

The previous prime is 3074405899. The next prime is 3074405909. The reversal of 3074405904 is 4095044703.

It is an interprime number because it is at equal distance from previous prime (3074405899) and next prime (3074405909).

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

It is not an unprimeable number, because it can be changed into a prime (3074405909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671784 + ... + 676344.

Almost surely, 23074405904 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 3074405904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471197952).

3074405904 is an abundant number, since it is smaller than the sum of its proper divisors (5867990000).

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

3074405904 is a wasteful number, since it uses less digits than its factorization.

3074405904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3074405904 is about 55447.3254900541. The cubic root of 3074405904 is about 1454.0758733025.

The spelling of 3074405904 in words is "three billion, seventy-four million, four hundred five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 151 186 248 279 302 372 453 496 558 604 744 906 1116 1208 1359 1488 1812 2232 2416 2718 3624 4464 4561 4681 5436 7248 9122 9362 10872 13683 14043 18244 18724 21744 27366 28086 36488 37448 41049 42129 54732 56172 72976 74896 82098 84258 109464 112344 141391 164196 168516 218928 224688 282782 328392 337032 424173 565564 656784 674064 688711 848346 1131128 1272519 1377422 1696692 2066133 2262256 2545038 2754844 3393384 4132266 5090076 5509688 6198399 6786768 8264532 10180152 11019376 12396798 16529064 20360304 21350041 24793596 33058128 42700082 49587192 64050123 85400164 99174384 128100246 170800328 192150369 256200492 341600656 384300738 512400984 768601476 1024801968 1537202952 3074405904