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3472140 = 2235721181
BaseRepresentation
bin1101001111101100001100
320112101212210
431033230030
51342102030
6202230420
741340600
oct15175414
96471783
103472140
111a61741
1211b5410
13947529
14665500
15488bb0
hex34fb0c

3472140 has 72 divisors (see below), whose sum is σ = 11318832. Its totient is φ = 792960.

The previous prime is 3472067. The next prime is 3472153. The reversal of 3472140 is 412743.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350 + ... + 3530.

It is an arithmetic number, because the mean of its divisors is an integer number (157206).

Almost surely, 23472140 is an apocalyptic number.

3472140 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 3472140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659416).

3472140 is an abundant number, since it is smaller than the sum of its proper divisors (7846692).

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

3472140 is a wasteful number, since it uses less digits than its factorization.

3472140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3472140 is about 1863.3679185818. The cubic root of 3472140 is about 151.4255207984.

Adding to 3472140 its reverse (412743), we get a palindrome (3884883).

The spelling of 3472140 in words is "three million, four hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1181 1470 2362 2940 3543 4724 5905 7086 8267 11810 14172 16534 17715 23620 24801 33068 35430 41335 49602 57869 70860 82670 99204 115738 124005 165340 173607 231476 248010 289345 347214 496020 578690 694428 868035 1157380 1736070 3472140