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67380432 = 2437238719
BaseRepresentation
bin1000000010000…
…10010011010000
311200210021120120
410001002103100
5114222133212
610404110240
71445503260
oct401022320
9150707516
1067380432
1135041a09
121a695380
1310c623a2
148d3d7a0
155dae88c
hex40424d0

67380432 has 80 divisors (see below), whose sum is σ = 207605760. Its totient is φ = 18412416.

The previous prime is 67380413. The next prime is 67380457. The reversal of 67380432 is 23408376.

It is a junction number, because it is equal to n+sod(n) for n = 67380393 and 67380402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369 + ... + 12087.

It is an arithmetic number, because the mean of its divisors is an integer number (2595072).

Almost surely, 267380432 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 67380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103802880).

67380432 is an abundant number, since it is smaller than the sum of its proper divisors (140225328).

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

67380432 is a wasteful number, since it uses less digits than its factorization.

67380432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 67380432 is about 8208.5584605337. The cubic root of 67380432 is about 406.9220874430.

The spelling of 67380432 in words is "sixty-seven million, three hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 8719 17438 26157 34876 52314 61033 69752 104628 122066 139504 183099 200537 209256 244132 366198 401074 418512 488264 601611 732396 802148 976528 1203222 1403759 1464792 1604296 2406444 2807518 2929584 3208592 4211277 4812888 5615036 8422554 9625776 11230072 16845108 22460144 33690216 67380432