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3379480192 = 27113476917
BaseRepresentation
bin1100100101101110…
…1100011010000000
322201112002101022001
43021123230122000
523410121331232
61315201553344
7146514051634
oct31133543200
98645071261
103379480192
1114846a0540
127a3945854
1341b1bcc2a
14240b88dc4
1514ba526e7
hexc96ec680

3379480192 has 64 divisors (see below), whose sum is σ = 7366839840. Its totient is φ = 1531479040.

The previous prime is 3379480129. The next prime is 3379480199. The reversal of 3379480192 is 2910849733.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33794801922 = 22841772736240713728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3379480199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485118 + ... + 492034.

Almost surely, 23379480192 is an apocalyptic number.

3379480192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683419920).

3379480192 is an abundant number, since it is smaller than the sum of its proper divisors (3987359648).

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

3379480192 is a wasteful number, since it uses less digits than its factorization.

3379480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 3379480192 is about 58133.2967583983. The cubic root of 3379480192 is about 1500.6634386710.

The spelling of 3379480192 in words is "three billion, three hundred seventy-nine million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 347 352 694 704 1388 1408 2776 3817 5552 6917 7634 11104 13834 15268 22208 27668 30536 44416 55336 61072 76087 110672 122144 152174 221344 244288 304348 442688 488576 608696 885376 1217392 2400199 2434784 4800398 4869568 9600796 9739136 19201592 26402189 38403184 52804378 76806368 105608756 153612736 211217512 307225472 422435024 844870048 1689740096 3379480192