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103354240 = 2751153277
BaseRepresentation
bin1100010100100…
…00111110000000
321012110221100211
412022100332000
5202424313430
614131123504
72363332213
oct612207600
9235427324
10103354240
1153382630
122a743594
1318549472
14da2577a
15911872a
hex6290f80

103354240 has 128 divisors (see below), whose sum is σ = 275620320. Its totient is φ = 36741120.

The previous prime is 103354219. The next prime is 103354247. The reversal of 103354240 is 42453301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103354247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372982 + ... + 373258.

Almost surely, 2103354240 is an apocalyptic number.

103354240 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 103354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137810160).

103354240 is an abundant number, since it is smaller than the sum of its proper divisors (172266080).

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

103354240 is a wasteful number, since it uses less digits than its factorization.

103354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 103354240 is about 10166.3287375532. The cubic root of 103354240 is about 469.2915840388.

The spelling of 103354240 in words is "one hundred three million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 80 88 106 110 128 160 176 212 220 265 277 320 352 424 440 530 554 583 640 704 848 880 1060 1108 1166 1385 1408 1696 1760 2120 2216 2332 2770 2915 3047 3392 3520 4240 4432 4664 5540 5830 6094 6784 7040 8480 8864 9328 11080 11660 12188 14681 15235 16960 17728 18656 22160 23320 24376 29362 30470 33920 35456 37312 44320 46640 48752 58724 60940 73405 74624 88640 93280 97504 117448 121880 146810 161491 177280 186560 195008 234896 243760 293620 322982 373120 390016 469792 487520 587240 645964 807455 939584 975040 1174480 1291928 1614910 1879168 1950080 2348960 2583856 3229820 4697920 5167712 6459640 9395840 10335424 12919280 20670848 25838560 51677120 103354240