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3406166368 = 251167144427
BaseRepresentation
bin1100101100000101…
…1111100101100000
322210101022011211221
43023001133211200
523433434310433
61321553544424
7150256636123
oct31301374540
98711264757
103406166368
111498768230
127b0875114
134238a4777
142445343ba
1514e07472d
hexcb05f960

3406166368 has 48 divisors (see below), whose sum is σ = 7424754624. Its totient is φ = 1525138560.

The previous prime is 3406166341. The next prime is 3406166371. The reversal of 3406166368 is 8636616043.

It is a super-2 number, since 2×34061663682 = 23203938652988622848, 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 7 ways as a sum of consecutive naturals, for example, 48630 + ... + 95797.

It is an arithmetic number, because the mean of its divisors is an integer number (154682388).

Almost surely, 23406166368 is an apocalyptic number.

It is an amenable number.

3406166368 is an abundant number, since it is smaller than the sum of its proper divisors (4018588256).

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

3406166368 is a wasteful number, since it uses less digits than its factorization.

3406166368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144515 (or 144507 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The square root of 3406166368 is about 58362.3711649895. The cubic root of 3406166368 is about 1504.6030995706.

The spelling of 3406166368 in words is "three billion, four hundred six million, one hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2948 5896 11792 23584 144427 288854 577708 1155416 1588697 2310832 3177394 4621664 6354788 9676609 12709576 19353218 25419152 38706436 50838304 77412872 106442699 154825744 212885398 309651488 425770796 851541592 1703083184 3406166368