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103348320 = 2535215309
BaseRepresentation
bin1100010100011…
…11100001100000
321012110122020120
412022033201200
5202424121240
614131040240
72363306025
oct612174140
9235418216
10103348320
1153379139
122a740080
131854686a
14da2354c
159116ad0
hex628f860

103348320 has 48 divisors (see below), whose sum is σ = 325548720. Its totient is φ = 27559424.

The previous prime is 103348319. The next prime is 103348339. The reversal of 103348320 is 23843301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107175 + ... + 108134.

It is an arithmetic number, because the mean of its divisors is an integer number (6782265).

Almost surely, 2103348320 is an apocalyptic number.

103348320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103348320 is an abundant number, since it is smaller than the sum of its proper divisors (222200400).

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

103348320 is a wasteful number, since it uses less digits than its factorization.

103348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215327 (or 215319 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103348320 is about 10166.0375761651. The cubic root of 103348320 is about 469.2826237252.

The spelling of 103348320 in words is "one hundred three million, three hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 215309 430618 645927 861236 1076545 1291854 1722472 2153090 2583708 3229635 3444944 4306180 5167416 6459270 6889888 8612360 10334832 12918540 17224720 20669664 25837080 34449440 51674160 103348320