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413034330 = 235371392677
BaseRepresentation
bin11000100111100…
…110011101011010
31001210012022120210
4120213212131122
51321214044310
6104552431550
713143506502
oct3047463532
91053168523
10413034330
111a2168895
12b63a85b6
1367756317
143cbd8a02
15263da820
hex189e675a

413034330 has 64 divisors (see below), whose sum is σ = 1025781120. Its totient is φ = 106354944.

The previous prime is 413034317. The next prime is 413034341. The reversal of 413034330 is 33430314.

It is a junction number, because it is equal to n+sod(n) for n = 413034297 and 413034306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152952 + ... + 155628.

It is an arithmetic number, because the mean of its divisors is an integer number (16027830).

Almost surely, 2413034330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413034330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512890560).

413034330 is an abundant number, since it is smaller than the sum of its proper divisors (612746790).

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

413034330 is a wasteful number, since it uses less digits than its factorization.

413034330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 413034330 is about 20323.2460497825. The cubic root of 413034330 is about 744.7240573779.

Adding to 413034330 its reverse (33430314), we get a palindrome (446464644).

The spelling of 413034330 in words is "four hundred thirteen million, thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 139 185 222 278 370 417 555 695 834 1110 1390 2085 2677 4170 5143 5354 8031 10286 13385 15429 16062 25715 26770 30858 40155 51430 77145 80310 99049 154290 198098 297147 372103 495245 594294 744206 990490 1116309 1485735 1860515 2232618 2971470 3721030 5581545 11163090 13767811 27535622 41303433 68839055 82606866 137678110 206517165 413034330