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100344852 = 22331979619
BaseRepresentation
bin1011111101100…
…10010000010100
320222211001021000
411332302100110
5201142013402
613542423300
72325626406
oct576622024
9228731230
10100344852
1151707633
1229731b30
1317a3476a
14d480b76
158c21c1c
hex5fb2414

100344852 has 96 divisors (see below), whose sum is σ = 277760000. Its totient is φ = 31236192.

The previous prime is 100344809. The next prime is 100344877. The reversal of 100344852 is 258443001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161799 + ... + 162417.

Almost surely, 2100344852 is an apocalyptic number.

100344852 is a gapful number since it is divisible by the number (12) 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 100344852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138880000).

100344852 is an abundant number, since it is smaller than the sum of its proper divisors (177415148).

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

100344852 is a wasteful number, since it uses less digits than its factorization.

100344852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 100344852 is about 10017.2277602139. The cubic root of 100344852 is about 464.6918249409.

Adding to 100344852 its reverse (258443001), we get a palindrome (358787853).

The spelling of 100344852 in words is "one hundred million, three hundred forty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 79 108 114 158 171 228 237 316 342 474 513 619 684 711 948 1026 1238 1422 1501 1857 2052 2133 2476 2844 3002 3714 4266 4503 5571 6004 7428 8532 9006 11142 11761 13509 16713 18012 22284 23522 27018 33426 35283 40527 47044 48901 54036 66852 70566 81054 97802 105849 141132 146703 162108 195604 211698 293406 317547 423396 440109 586812 635094 880218 929119 1270188 1320327 1760436 1858238 2640654 2787357 3716476 5281308 5574714 8362071 11149428 16724142 25086213 33448284 50172426 100344852