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100004340 = 223537107421
BaseRepresentation
bin1011111010111…
…11000111110100
320222011202011110
411331133013310
5201100114330
613531235020
72323010562
oct575370764
9228152143
10100004340
11514a4817
12295a8a70
1317945787
14d3d2a32
158ba5db0
hex5f5f1f4

100004340 has 96 divisors (see below), whose sum is σ = 290957184. Its totient is φ = 25643520.

The previous prime is 100004327. The next prime is 100004347. The reversal of 100004340 is 43400001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100004347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237330 + ... + 237750.

It is an arithmetic number, because the mean of its divisors is an integer number (3030804).

Almost surely, 2100004340 is an apocalyptic number.

100004340 is a gapful number since it is divisible by the number (10) 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 100004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145478592).

100004340 is an abundant number, since it is smaller than the sum of its proper divisors (190952844).

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

100004340 is a wasteful number, since it uses less digits than its factorization.

100004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100004340 is about 10000.2169976456. The cubic root of 100004340 is about 464.1655980960.

Adding to 100004340 its reverse (43400001), we get a palindrome (143404341).

The spelling of 100004340 in words is "one hundred million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 107 111 148 185 214 222 321 370 421 428 444 535 555 642 740 842 1070 1110 1263 1284 1605 1684 2105 2140 2220 2526 3210 3959 4210 5052 6315 6420 7918 8420 11877 12630 15577 15836 19795 23754 25260 31154 39590 45047 46731 47508 59385 62308 77885 79180 90094 93462 118770 135141 155770 180188 186924 225235 233655 237540 270282 311540 450470 467310 540564 675705 900940 934620 1351410 1666739 2702820 3333478 5000217 6666956 8333695 10000434 16667390 20000868 25001085 33334780 50002170 100004340