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3379992 = 2337113159
BaseRepresentation
bin1100111001001100011000
320100201110220
430321030120
51331124432
6200240040
740505130
oct14711430
96321426
103379992
1119a9490
121170020
139145c5
1463dac0
1546b72c
hex339318

3379992 has 128 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 835200.

The previous prime is 3379963. The next prime is 3379997. The reversal of 3379992 is 2999733.

It is a super-2 number, since 2×33799922 = 22848691840128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57259 + ... + 57317.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

Almost surely, 23379992 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 3379992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

3379992 is an abundant number, since it is smaller than the sum of its proper divisors (7679208).

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

3379992 is a wasteful number, since it uses less digits than its factorization.

3379992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 91854, while the sum is 42.

The square root of 3379992 is about 1838.4754553706. The cubic root of 3379992 is about 150.0739191227.

It can be divided in two parts, 3379 and 992, that added together give a triangular number (4371 = T93).

The spelling of 3379992 in words is "three million, three hundred seventy-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 59 62 66 77 84 88 93 118 124 132 154 168 177 186 217 231 236 248 264 308 341 354 372 413 434 462 472 616 649 651 682 708 744 826 868 924 1023 1239 1298 1302 1364 1416 1652 1736 1829 1848 1947 2046 2387 2478 2596 2604 2728 3304 3658 3894 4092 4543 4774 4956 5192 5208 5487 7161 7316 7788 8184 9086 9548 9912 10974 12803 13629 14322 14632 15576 18172 19096 20119 21948 25606 27258 28644 36344 38409 40238 43896 51212 54516 57288 60357 76818 80476 102424 109032 120714 140833 153636 160952 241428 281666 307272 422499 482856 563332 844998 1126664 1689996 3379992