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3472416 = 25334019
BaseRepresentation
bin1101001111110000100000
320112102021000
431033300200
51342104131
6202232000
741341443
oct15176040
96472230
103472416
111a61972
1211b5600
139476ac
1466565a
15488ce6
hex34fc20

3472416 has 48 divisors (see below), whose sum is σ = 10130400. Its totient is φ = 1157184.

The previous prime is 3472411. The next prime is 3472423. The reversal of 3472416 is 6142743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3472416.

It is not an unprimeable number, because it can be changed into a prime (3472411) 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, 1146 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (211050).

Almost surely, 23472416 is an apocalyptic number.

3472416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3472416 is an abundant number, since it is smaller than the sum of its proper divisors (6657984).

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

3472416 is a wasteful number, since it uses less digits than its factorization.

3472416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4024 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3472416 is about 1863.4419765584. The cubic root of 3472416 is about 151.4295329577.

The spelling of 3472416 in words is "three million, four hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4019 8038 12057 16076 24114 32152 36171 48228 64304 72342 96456 108513 128608 144684 192912 217026 289368 385824 434052 578736 868104 1157472 1736208 3472416