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103740384 = 25311313169
BaseRepresentation
bin1100010111011…
…11001111100000
321020012120001110
412023233033200
5203024143014
614143303320
72366531046
oct613571740
9236176043
10103740384
1153616760
122a8aab40
1318653157
14dac6396
159192d59
hex62ef3e0

103740384 has 96 divisors (see below), whose sum is σ = 306754560. Its totient is φ = 30412800.

The previous prime is 103740379. The next prime is 103740391. The reversal of 103740384 is 483047301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31152 + ... + 34320.

It is an arithmetic number, because the mean of its divisors is an integer number (3195360).

Almost surely, 2103740384 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 103740384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153377280).

103740384 is an abundant number, since it is smaller than the sum of its proper divisors (203014176).

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

103740384 is a wasteful number, since it uses less digits than its factorization.

103740384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 103740384 is about 10185.3023519187. The cubic root of 103740384 is about 469.8753011570.

Adding to 103740384 its reverse (483047301), we get a palindrome (586787685).

The spelling of 103740384 in words is "one hundred three million, seven hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 3169 4092 5456 6338 8184 9507 10912 12676 16368 19014 25352 32736 34859 38028 50704 69718 76056 98239 101408 104577 139436 152112 196478 209154 278872 294717 304224 392956 418308 557744 589434 785912 836616 1080629 1115488 1178868 1571824 1673232 2161258 2357736 3143648 3241887 3346464 4322516 4715472 6483774 8645032 9430944 12967548 17290064 25935096 34580128 51870192 103740384