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3397464 = 233472107
BaseRepresentation
bin1100111101011101011000
320101121110000
430331131120
51332204324
6200453000
740610100
oct14753530
96347400
103397464
111a10624
12117a160
1391c545
14646200
154719c9
hex33d758

3397464 has 120 divisors (see below), whose sum is σ = 11173140. Its totient is φ = 961632.

The previous prime is 3397423. The next prime is 3397469. The reversal of 3397464 is 4647933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 33 + 313 + 93 + 76 + 45 + 68 + 46 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31699 + ... + 31805.

Almost surely, 23397464 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 3397464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586570).

3397464 is an abundant number, since it is smaller than the sum of its proper divisors (7775676).

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

3397464 is a wasteful number, since it uses less digits than its factorization.

3397464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3397464 is about 1843.2210936293. The cubic root of 3397464 is about 150.3320643460.

The spelling of 3397464 in words is "three million, three hundred ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 107 108 126 147 162 168 189 196 214 216 252 294 321 324 378 392 428 441 504 567 588 642 648 749 756 856 882 963 1134 1176 1284 1323 1498 1512 1764 1926 2247 2268 2568 2646 2889 2996 3528 3852 3969 4494 4536 5243 5292 5778 5992 6741 7704 7938 8667 8988 10486 10584 11556 13482 15729 15876 17334 17976 20223 20972 23112 26964 31458 31752 34668 40446 41944 47187 53928 60669 62916 69336 80892 94374 121338 125832 141561 161784 188748 242676 283122 377496 424683 485352 566244 849366 1132488 1698732 3397464