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407341038 = 231321921143
BaseRepresentation
bin11000010001111…
…000011111101110
31001101111001212010
4120101320133232
51313234403123
6104230422050
713044225126
oct3021703756
91041431763
10407341038
11199a2a395
12b4501926
1366511b00
143c155c86
1525b63993
hex184787ee

407341038 has 48 divisors (see below), whose sum is σ = 928644480. Its totient is φ = 118733472.

The previous prime is 407341031. The next prime is 407341069. The reversal of 407341038 is 830143704.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 407340996 and 407341014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407341031) 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, 8695 + ... + 29837.

It is an arithmetic number, because the mean of its divisors is an integer number (19346760).

Almost surely, 2407341038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407341038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464322240).

407341038 is an abundant number, since it is smaller than the sum of its proper divisors (521303442).

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

407341038 is a wasteful number, since it uses less digits than its factorization.

407341038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21193 (or 21180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 407341038 is about 20182.6915449848. The cubic root of 407341038 is about 741.2864389683.

The spelling of 407341038 in words is "four hundred seven million, three hundred forty-one thousand, thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 3211 6422 9633 19266 21143 42286 63429 126858 274859 401717 549718 803434 824577 1205151 1649154 2410302 3573167 5222321 7146334 10444642 10719501 15666963 21439002 31333926 67890173 135780346 203670519 407341038