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378143712 = 25326719597
BaseRepresentation
bin10110100010100…
…000001111100000
3222100112200122200
4112202200033200
51233301044322
6101304533200
712241111542
oct2642401740
9870480580
10378143712
111844a7a71
12a6781200
136045b29b
1438315692
15232e78ac
hex168a03e0

378143712 has 72 divisors (see below), whose sum is σ = 1091451816. Its totient is φ = 124160256.

The previous prime is 378143707. The next prime is 378143741. The reversal of 378143712 is 217341873.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3781437123 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 9498 + ... + 29094.

It is an arithmetic number, because the mean of its divisors is an integer number (15159053).

Almost surely, 2378143712 is an apocalyptic number.

378143712 is a gapful number since it is divisible by the number (32) 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 378143712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545725908).

378143712 is an abundant number, since it is smaller than the sum of its proper divisors (713308104).

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

378143712 is a wasteful number, since it uses less digits than its factorization.

378143712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 19669 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 378143712 is about 19445.9176178446. The cubic root of 378143712 is about 723.1342989561.

The spelling of 378143712 in words is "three hundred seventy-eight million, one hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 19296 19597 39194 58791 78388 117582 156776 176373 235164 313552 352746 470328 627104 705492 940656 1312999 1410984 1881312 2625998 2821968 3938997 5251996 5643936 7877994 10503992 11816991 15755988 21007984 23633982 31511976 42015968 47267964 63023952 94535928 126047904 189071856 378143712