Search a number
-
+
3403920 = 2435131091
BaseRepresentation
bin1100111111000010010000
320101221022010
430333002100
51332411140
6200542520
740634652
oct14770220
96357263
103403920
111a15463
121181a40
13922470
146486d2
15473880
hex33f090

3403920 has 80 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 837120.

The previous prime is 3403919. The next prime is 3403921. The reversal of 3403920 is 293043.

It is an interprime number because it is at equal distance from previous prime (3403919) and next prime (3403921).

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

It is not an unprimeable number, because it can be changed into a prime (3403921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575 + ... + 3665.

Almost surely, 23403920 is an apocalyptic number.

3403920 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 3403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3403920 is an abundant number, since it is smaller than the sum of its proper divisors (7970352).

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

3403920 is a wasteful number, since it uses less digits than its factorization.

3403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3403920 is about 1844.9715444960. The cubic root of 3403920 is about 150.4272264728.

Adding to 3403920 its reverse (293043), we get a palindrome (3696963).

The spelling of 3403920 in words is "three million, four hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1091 1560 2182 3120 3273 4364 5455 6546 8728 10910 13092 14183 16365 17456 21820 26184 28366 32730 42549 43640 52368 56732 65460 70915 85098 87280 113464 130920 141830 170196 212745 226928 261840 283660 340392 425490 567320 680784 850980 1134640 1701960 3403920