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3402240 = 2935443
BaseRepresentation
bin1100111110101000000000
320101211222220
430332220000
51332332430
6200531040
740630032
oct14765000
96354886
103402240
111a14176
121180a80
1392177a
14647c52
15473110
hex33ea00

3402240 has 80 divisors (see below), whose sum is σ = 10901088. Its totient is φ = 905216.

The previous prime is 3402239. The next prime is 3402241. The reversal of 3402240 is 422043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3402239) and next prime (3402241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×34022404 (a number of 27 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3402241) 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, 7459 + ... + 7901.

Almost surely, 23402240 is an apocalyptic number.

3402240 is a gapful number since it is divisible by the number (30) 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 3402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450544).

3402240 is an abundant number, since it is smaller than the sum of its proper divisors (7498848).

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

3402240 is an equidigital number, since it uses as much as digits as its factorization.

3402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3402240 is about 1844.5161967302. The cubic root of 3402240 is about 150.4024746839.

Adding to 3402240 its reverse (422043), we get a palindrome (3824283).

The spelling of 3402240 in words is "three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 443 480 512 640 768 886 960 1280 1329 1536 1772 1920 2215 2560 2658 3544 3840 4430 5316 6645 7088 7680 8860 10632 13290 14176 17720 21264 26580 28352 35440 42528 53160 56704 70880 85056 106320 113408 141760 170112 212640 226816 283520 340224 425280 567040 680448 850560 1134080 1701120 3402240