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3450420 = 2232529661
BaseRepresentation
bin1101001010011000110100
320111022002100
431022120310
51340403140
6201542100
741220351
oct15123064
96438070
103450420
111a47396
1211a4930
1393a68c
1465b628
15482530
hex34a634

3450420 has 72 divisors (see below), whose sum is σ = 10843560. Its totient is φ = 887040.

The previous prime is 3450407. The next prime is 3450427. The reversal of 3450420 is 240543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 2683044 = 876^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3450393 and 3450402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450427) 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, 4890 + ... + 5550.

It is an arithmetic number, because the mean of its divisors is an integer number (150605).

Almost surely, 23450420 is an apocalyptic number.

3450420 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 3450420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421780).

3450420 is an abundant number, since it is smaller than the sum of its proper divisors (7393140).

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

3450420 is a wasteful number, since it uses less digits than its factorization.

3450420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3450420 is about 1857.5306188594. The cubic root of 3450420 is about 151.1091122541.

Adding to 3450420 its reverse (240543), we get a palindrome (3690963).

The spelling of 3450420 in words is "three million, four hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 661 870 1044 1305 1322 1740 1983 2610 2644 3305 3966 5220 5949 6610 7932 9915 11898 13220 19169 19830 23796 29745 38338 39660 57507 59490 76676 95845 115014 118980 172521 191690 230028 287535 345042 383380 575070 690084 862605 1150140 1725210 3450420