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3422640 = 2435131097
BaseRepresentation
bin1101000011100110110000
320102212222110
431003212300
51334011030
6201205320
741043354
oct15034660
96385873
103422640
111a28531
121190840
1392ab40
14651464
154791b0
hex3439b0

3422640 has 80 divisors (see below), whose sum is σ = 11436768. Its totient is φ = 841728.

The previous prime is 3422633. The next prime is 3422647. The reversal of 3422640 is 462243.

It is an interprime number because it is at equal distance from previous prime (3422633) and next prime (3422647).

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 (3422647) 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, 2572 + ... + 3668.

Almost surely, 23422640 is an apocalyptic number.

3422640 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 3422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718384).

3422640 is an abundant number, since it is smaller than the sum of its proper divisors (8014128).

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

3422640 is a wasteful number, since it uses less digits than its factorization.

3422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3422640 is about 1850.0378374509. The cubic root of 3422640 is about 150.7024827618.

Adding to 3422640 its reverse (462243), we get a palindrome (3884883).

The spelling of 3422640 in words is "three million, four hundred twenty-two thousand, six hundred forty".

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 1097 1560 2194 3120 3291 4388 5485 6582 8776 10970 13164 14261 16455 17552 21940 26328 28522 32910 42783 43880 52656 57044 65820 71305 85566 87760 114088 131640 142610 171132 213915 228176 263280 285220 342264 427830 570440 684528 855660 1140880 1711320 3422640