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3378030288 = 2431725116493
BaseRepresentation
bin1100100101011000…
…1010011011010000
322201102100201101220
43021112022123100
523404233432123
61315110525040
7146465532543
oct31126123320
98642321356
103378030288
1114838a0176
127a3366780
1341ab02cb9
142408cc85a
1514b867ce3
hexc958a6d0

3378030288 has 80 divisors (see below), whose sum is σ = 9277281216. Its totient is φ = 1055488000.

The previous prime is 3378030269. The next prime is 3378030317. The reversal of 3378030288 is 8820308733.

It is a super-2 number, since 2×33780302882 = 22822177253290725888, which contains 22 as substring.

It is a congruent number.

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, 196570 + ... + 213062.

Almost surely, 23378030288 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 3378030288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638640608).

3378030288 is an abundant number, since it is smaller than the sum of its proper divisors (5899250928).

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

3378030288 is a wasteful number, since it uses less digits than its factorization.

3378030288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16772 (or 16766 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3378030288 is about 58120.8249081171. The cubic root of 3378030288 is about 1500.4487972628.

The spelling of 3378030288 in words is "three billion, three hundred seventy-eight million, thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 251 272 408 502 753 816 1004 1506 2008 3012 4016 4267 6024 8534 12048 12801 16493 17068 25602 32986 34136 49479 51204 65972 68272 98958 102408 131944 197916 204816 263888 280381 395832 560762 791664 841143 1121524 1682286 2243048 3364572 4139743 4486096 6729144 8279486 12419229 13458288 16558972 24838458 33117944 49676916 66235888 70375631 99353832 140751262 198707664 211126893 281502524 422253786 563005048 844507572 1126010096 1689015144 3378030288