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3104400 = 2435213199
BaseRepresentation
bin1011110101111010010000
312211201102210
423311322100
51243320100
6150312120
735246505
oct13657220
95751383
103104400
111830422
121058640
13849030
145ab4ac
15414c50
hex2f5e90

3104400 has 120 divisors (see below), whose sum is σ = 10763200. Its totient is φ = 760320.

The previous prime is 3104393. The next prime is 3104407. The reversal of 3104400 is 44013.

It is an interprime number because it is at equal distance from previous prime (3104393) and next prime (3104407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3104407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15501 + ... + 15699.

Almost surely, 23104400 is an apocalyptic number.

3104400 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 3104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381600).

3104400 is an abundant number, since it is smaller than the sum of its proper divisors (7658800).

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

3104400 is a wasteful number, since it uses less digits than its factorization.

3104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3104400 is about 1761.9307591390. The cubic root of 3104400 is about 145.8789263340.

Adding to 3104400 its reverse (44013), we get a palindrome (3148413).

The spelling of 3104400 in words is "three million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 199 200 208 240 260 300 312 325 390 398 400 520 597 600 624 650 780 796 975 995 1040 1194 1200 1300 1560 1592 1950 1990 2388 2587 2600 2985 3120 3184 3900 3980 4776 4975 5174 5200 5970 7761 7800 7960 9552 9950 10348 11940 12935 14925 15522 15600 15920 19900 20696 23880 25870 29850 31044 38805 39800 41392 47760 51740 59700 62088 64675 77610 79600 103480 119400 124176 129350 155220 194025 206960 238800 258700 310440 388050 517400 620880 776100 1034800 1552200 3104400