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2934336 = 263172931
BaseRepresentation
bin1011001100011001000000
312112002011010
423030121000
51222344321
6142520520
733640626
oct13143100
95462133
102934336
111724679
12b96140
137b97c2
14565516
153ce676
hex2cc640

2934336 has 112 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 860160.

The previous prime is 2934313. The next prime is 2934343. The reversal of 2934336 is 6334392.

It is a super-2 number, since 2×29343362 = 17220655521792, which contains 22 as substring.

It is a d-powerful number, because it can be written as 219 + 9 + 35 + 46 + 312 + 313 + 67 .

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, 94641 + ... + 94671.

22934336 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 2934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

2934336 is an abundant number, since it is smaller than the sum of its proper divisors (5843904).

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

2934336 is a wasteful number, since it uses less digits than its factorization.

2934336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 2934336 is about 1712.9903677488. The cubic root of 2934336 is about 143.1649196759.

The spelling of 2934336 in words is "two million, nine hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 31 32 34 48 51 58 62 64 68 87 93 96 102 116 124 136 174 186 192 204 232 248 272 348 372 408 464 493 496 527 544 696 744 816 899 928 986 992 1054 1088 1392 1479 1488 1581 1632 1798 1856 1972 1984 2108 2697 2784 2958 2976 3162 3264 3596 3944 4216 5394 5568 5916 5952 6324 7192 7888 8432 10788 11832 12648 14384 15283 15776 16864 21576 23664 25296 28768 30566 31552 33728 43152 45849 47328 50592 57536 61132 86304 91698 94656 101184 122264 172608 183396 244528 366792 489056 733584 978112 1467168 2934336