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100341504 = 28351613
BaseRepresentation
bin1011111101100…
…01011100000000
320222210212200000
411332301130000
5201141412004
613542400000
72325613554
oct576613400
9228725600
10100341504
115170506a
1229730000
1317a33093
14d47d864
158c20c39
hex5fb1700

100341504 has 108 divisors (see below), whose sum is σ = 300210456. Its totient is φ = 33426432.

The previous prime is 100341487. The next prime is 100341509. The reversal of 100341504 is 405143001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100341509) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61402 + ... + 63014.

Almost surely, 2100341504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150105228).

100341504 is an abundant number, since it is smaller than the sum of its proper divisors (199868952).

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

100341504 is an frugal number, since it uses more digits than its factorization.

100341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100341504 is about 10017.0606467167. The cubic root of 100341504 is about 464.6866567450.

Adding to 100341504 its reverse (405143001), we get a palindrome (505484505).

The spelling of 100341504 in words is "one hundred million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1613 1728 1944 2304 2592 3226 3456 3888 4839 5184 6452 6912 7776 9678 10368 12904 14517 15552 19356 20736 25808 29034 31104 38712 43551 51616 58068 62208 77424 87102 103232 116136 130653 154848 174204 206464 232272 261306 309696 348408 391959 412928 464544 522612 619392 696816 783918 929088 1045224 1238784 1393632 1567836 1858176 2090448 2787264 3135672 3716352 4180896 5574528 6271344 8361792 11149056 12542688 16723584 25085376 33447168 50170752 100341504