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3378380742 = 2321124336073
BaseRepresentation
bin1100100101011101…
…1111111111000110
322201110000112010200
43021113133333012
523404331140432
61315122231330
7146501522352
oct31127377706
98643015120
103378380742
11148400a500
127a34b5546
1341abc6679
14240980462
1514b8d6a7c
hexc95dffc6

3378380742 has 72 divisors (see below), whose sum is σ = 8233096872. Its totient is φ = 999915840.

The previous prime is 3378380741. The next prime is 3378380767. The reversal of 3378380742 is 2470838733.

It is a super-2 number, since 2×33783807422 = 22826912875832941128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378380741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75618 + ... + 111690.

Almost surely, 23378380742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378380742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116548436).

3378380742 is an abundant number, since it is smaller than the sum of its proper divisors (4854716130).

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

3378380742 is a wasteful number, since it uses less digits than its factorization.

3378380742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36146 (or 36132 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3378380742 is about 58123.8397045481. The cubic root of 3378380742 is about 1500.5006835254.

The spelling of 3378380742 in words is "three billion, three hundred seventy-eight million, three hundred eighty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 242 258 363 387 473 726 774 946 1089 1419 2178 2838 4257 5203 8514 10406 15609 31218 36073 46827 72146 93654 108219 216438 324657 396803 649314 793606 1190409 1551139 2380818 3102278 3571227 4364833 4653417 7142454 8729666 9306834 13094499 13960251 17062529 26188998 27920502 34125058 39283497 51187587 78566994 102375174 153562761 187687819 307125522 375375638 563063457 1126126914 1689190371 3378380742