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3294402816 = 28325716691
BaseRepresentation
bin1100010001011100…
…1001100100000000
322111121000000002010
43010113021210000
523221331342231
61302522252520
7144431650635
oct30427114400
98447000063
103294402816
111440671661
1277b357140
134066a27a3
1423376018c
15144349546
hexc45c9900

3294402816 has 72 divisors (see below), whose sum is σ = 8802559584. Its totient is φ = 1093795840.

The previous prime is 3294402773. The next prime is 3294402833. The reversal of 3294402816 is 6182044923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189031 + ... + 205721.

It is an arithmetic number, because the mean of its divisors is an integer number (122257772).

Almost surely, 23294402816 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 3294402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401279792).

3294402816 is an abundant number, since it is smaller than the sum of its proper divisors (5508156768).

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

3294402816 is a wasteful number, since it uses less digits than its factorization.

3294402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16967 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3294402816 is about 57396.8885567850. Note that the first 3 decimals coincide. The cubic root of 3294402816 is about 1487.9633474612.

The spelling of 3294402816 in words is "three billion, two hundred ninety-four million, four hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 514 768 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 16691 24672 32896 33382 49344 50073 65792 66764 98688 100146 133528 197376 200292 267056 400584 534112 801168 1068224 1602336 2136448 3204672 4272896 4289587 6409344 8579174 12818688 12868761 17158348 25737522 34316696 51475044 68633392 102950088 137266784 205900176 274533568 411800352 549067136 823600704 1098134272 1647201408 3294402816