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3410422040 = 235294876037
BaseRepresentation
bin1100101101000110…
…1110100100011000
322210200022101112102
43023101232210120
523441032001130
61322225102532
7150341052254
oct31321564430
98720271472
103410422040
1114a0104613
127b2187a48
1342473480c
14244d21264
1514e615645
hexcb46e918

3410422040 has 64 divisors (see below), whose sum is σ = 7955668800. Its totient is φ = 1314206208.

The previous prime is 3410422033. The next prime is 3410422049. The reversal of 3410422040 is 402240143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410422049) 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, 561902 + ... + 567938.

It is an arithmetic number, because the mean of its divisors is an integer number (124307325).

Almost surely, 23410422040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977834400).

3410422040 is an abundant number, since it is smaller than the sum of its proper divisors (4545246760).

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

3410422040 is a wasteful number, since it uses less digits than its factorization.

3410422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3410422040 is about 58398.8188236714. The cubic root of 3410422040 is about 1505.2294569627.

Adding to 3410422040 its reverse (402240143), we get a palindrome (3812662183).

The spelling of 3410422040 in words is "three billion, four hundred ten million, four hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 487 580 974 1160 1948 2435 3896 4870 6037 9740 12074 14123 19480 24148 28246 30185 48296 56492 60370 70615 112984 120740 141230 175073 241480 282460 350146 564920 700292 875365 1400584 1750730 2940019 3501460 5880038 7002920 11760076 14700095 23520152 29400190 58800380 85260551 117600760 170521102 341042204 426302755 682084408 852605510 1705211020 3410422040