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2797340 = 2257132953
BaseRepresentation
bin1010101010111100011100
312021010020012
422222330130
51204003330
6135542352
732530340
oct12527434
95233205
102797340
111640757
12b2a9b8
1376c340
1452b620
153a3c95
hex2aaf1c

2797340 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 838656.

The previous prime is 2797339. The next prime is 2797357. The reversal of 2797340 is 437972.

It is a happy number.

It is a super-2 number, since 2×27973402 = 15650222151200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2797297 and 2797306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52754 + ... + 52806.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

22797340 is an apocalyptic number.

2797340 is a gapful number since it is divisible by the number (20) 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 2797340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2797340 is an abundant number, since it is smaller than the sum of its proper divisors (4823140).

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

2797340 is a wasteful number, since it uses less digits than its factorization.

2797340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 2797340 is about 1672.5250371818. The cubic root of 2797340 is about 140.9013276081.

The spelling of 2797340 in words is "two million, seven hundred ninety-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 53 58 65 70 91 106 116 130 140 145 182 203 212 260 265 290 364 371 377 406 455 530 580 689 742 754 812 910 1015 1060 1378 1484 1508 1537 1820 1855 1885 2030 2639 2756 3074 3445 3710 3770 4060 4823 5278 6148 6890 7420 7540 7685 9646 10556 10759 13195 13780 15370 19292 19981 21518 24115 26390 30740 39962 43036 48230 52780 53795 79924 96460 99905 107590 139867 199810 215180 279734 399620 559468 699335 1398670 2797340