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100234440 = 23325299601
BaseRepresentation
bin1011111100101…
…11010011001000
320222121102210200
411332113103020
5201130000230
613540212200
72324656455
oct576272310
9228542720
10100234440
1151641689
122969a060
13179c6427
14d45282c
158bee160
hex5f974c8

100234440 has 96 divisors (see below), whose sum is σ = 337030200. Its totient is φ = 25804800.

The previous prime is 100234427. The next prime is 100234441. The reversal of 100234440 is 44432001.

It can be written as a sum of positive squares in 4 ways, for example, as 91126116 + 9108324 = 9546^2 + 3018^2 .

It is a super-2 number, since 2×1002344402 = 20093885924227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100234441) 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, 5640 + ... + 15240.

Almost surely, 2100234440 is an apocalyptic number.

100234440 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 100234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168515100).

100234440 is an abundant number, since it is smaller than the sum of its proper divisors (236795760).

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

100234440 is a wasteful number, since it uses less digits than its factorization.

100234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9647 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100234440 is about 10011.7151377773. The cubic root of 100234440 is about 464.5213249680.

Adding to 100234440 its reverse (44432001), we get a palindrome (144666441).

The spelling of 100234440 in words is "one hundred million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 9601 10440 19202 28803 38404 48005 57606 76808 86409 96010 115212 144015 172818 192020 230424 278429 288030 345636 384040 432045 556858 576060 691272 835287 864090 1113716 1152120 1392145 1670574 1728180 2227432 2505861 2784290 3341148 3456360 4176435 5011722 5568580 6682296 8352870 10023444 11137160 12529305 16705740 20046888 25058610 33411480 50117220 100234440